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Finding the Third Proportional to 8,988.47 and 14,069.53

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Solution

The third proportional to 8,988.47 and 14,069.53 is: 22,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,988.47 : 14,069.53 = 14,069.53 : x
  2. Step 2: Convert to fraction form
    8,988.47/14,069.53 = 14,069.53/x
  3. Step 3: Cross multiply
    8,988.47x = 14,069.53 × 14,069.53
  4. Step 4: Simplify right side
    8,988.47x = 197,951,709.59
  5. Step 5: Solve for x
    x = 197,951,709.59/8,988.47
  6. Step 6: Final answer
    x = 22,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.