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Finding the Third Proportional to 22,098.52 and 47,700.73

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Solution

The third proportional to 22,098.52 and 47,700.73 is: 102,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.52 : 47,700.73 = 47,700.73 : x
  2. Step 2: Convert to fraction form
    22,098.52/47,700.73 = 47,700.73/x
  3. Step 3: Cross multiply
    22,098.52x = 47,700.73 × 47,700.73
  4. Step 4: Simplify right side
    22,098.52x = 2,275,360,013.33
  5. Step 5: Solve for x
    x = 2,275,360,013.33/22,098.52
  6. Step 6: Final answer
    x = 102,964.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.