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Finding the Third Proportional to 6,787.13 and 16,166.25

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Solution

The third proportional to 6,787.13 and 16,166.25 is: 38,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.13 : 16,166.25 = 16,166.25 : x
  2. Step 2: Convert to fraction form
    6,787.13/16,166.25 = 16,166.25/x
  3. Step 3: Cross multiply
    6,787.13x = 16,166.25 × 16,166.25
  4. Step 4: Simplify right side
    6,787.13x = 261,347,639.06
  5. Step 5: Solve for x
    x = 261,347,639.06/6,787.13
  6. Step 6: Final answer
    x = 38,506.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.