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Finding the Third Proportional to 14,716.69 and 32,098.78

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Solution

The third proportional to 14,716.69 and 32,098.78 is: 70,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 32,098.78 = 32,098.78 : x
  2. Step 2: Convert to fraction form
    14,716.69/32,098.78 = 32,098.78/x
  3. Step 3: Cross multiply
    14,716.69x = 32,098.78 × 32,098.78
  4. Step 4: Simplify right side
    14,716.69x = 1,030,331,757.74
  5. Step 5: Solve for x
    x = 1,030,331,757.74/14,716.69
  6. Step 6: Final answer
    x = 70,011.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.