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Finding the Third Proportional to 14,635.69 and 24,160.78

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Solution

The third proportional to 14,635.69 and 24,160.78 is: 39,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.69 : 24,160.78 = 24,160.78 : x
  2. Step 2: Convert to fraction form
    14,635.69/24,160.78 = 24,160.78/x
  3. Step 3: Cross multiply
    14,635.69x = 24,160.78 × 24,160.78
  4. Step 4: Simplify right side
    14,635.69x = 583,743,350.61
  5. Step 5: Solve for x
    x = 583,743,350.61/14,635.69
  6. Step 6: Final answer
    x = 39,884.93

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.