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Finding the Third Proportional to 15,200.25 and 24,282.75

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Solution

The third proportional to 15,200.25 and 24,282.75 is: 38,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.25 : 24,282.75 = 24,282.75 : x
  2. Step 2: Convert to fraction form
    15,200.25/24,282.75 = 24,282.75/x
  3. Step 3: Cross multiply
    15,200.25x = 24,282.75 × 24,282.75
  4. Step 4: Simplify right side
    15,200.25x = 589,651,947.56
  5. Step 5: Solve for x
    x = 589,651,947.56/15,200.25
  6. Step 6: Final answer
    x = 38,792.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.