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Finding the Third Proportional to 15,765.75 and 24,412.13

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Solution

The third proportional to 15,765.75 and 24,412.13 is: 37,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.75 : 24,412.13 = 24,412.13 : x
  2. Step 2: Convert to fraction form
    15,765.75/24,412.13 = 24,412.13/x
  3. Step 3: Cross multiply
    15,765.75x = 24,412.13 × 24,412.13
  4. Step 4: Simplify right side
    15,765.75x = 595,951,847.02
  5. Step 5: Solve for x
    x = 595,951,847.02/15,765.75
  6. Step 6: Final answer
    x = 37,800.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.