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Finding the Third Proportional to 24,787.50 and 39,206.25

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Solution

The third proportional to 24,787.50 and 39,206.25 is: 62,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.50 : 39,206.25 = 39,206.25 : x
  2. Step 2: Convert to fraction form
    24,787.50/39,206.25 = 39,206.25/x
  3. Step 3: Cross multiply
    24,787.50x = 39,206.25 × 39,206.25
  4. Step 4: Simplify right side
    24,787.50x = 1,537,130,039.06
  5. Step 5: Solve for x
    x = 1,537,130,039.06/24,787.50
  6. Step 6: Final answer
    x = 62,012.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.