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Finding the Third Proportional to 15,720.75 and 24,537.75

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Solution

The third proportional to 15,720.75 and 24,537.75 is: 38,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.75 : 24,537.75 = 24,537.75 : x
  2. Step 2: Convert to fraction form
    15,720.75/24,537.75 = 24,537.75/x
  3. Step 3: Cross multiply
    15,720.75x = 24,537.75 × 24,537.75
  4. Step 4: Simplify right side
    15,720.75x = 602,101,175.06
  5. Step 5: Solve for x
    x = 602,101,175.06/15,720.75
  6. Step 6: Final answer
    x = 38,299.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.