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Finding the Third Proportional to 14,691.75 and 22,069.88

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Solution

The third proportional to 14,691.75 and 22,069.88 is: 33,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.75 : 22,069.88 = 22,069.88 : x
  2. Step 2: Convert to fraction form
    14,691.75/22,069.88 = 22,069.88/x
  3. Step 3: Cross multiply
    14,691.75x = 22,069.88 × 22,069.88
  4. Step 4: Simplify right side
    14,691.75x = 487,079,382.52
  5. Step 5: Solve for x
    x = 487,079,382.52/14,691.75
  6. Step 6: Final answer
    x = 33,153.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.