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Finding the Third Proportional to 15,045.75 and 24,140.53

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Solution

The third proportional to 15,045.75 and 24,140.53 is: 38,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045.75 : 24,140.53 = 24,140.53 : x
  2. Step 2: Convert to fraction form
    15,045.75/24,140.53 = 24,140.53/x
  3. Step 3: Cross multiply
    15,045.75x = 24,140.53 × 24,140.53
  4. Step 4: Simplify right side
    15,045.75x = 582,765,249.03
  5. Step 5: Solve for x
    x = 582,765,249.03/15,045.75
  6. Step 6: Final answer
    x = 38,732.88

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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.