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Finding the Third Proportional to 22,098.38 and 47,698.88

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Solution

The third proportional to 22,098.38 and 47,698.88 is: 102,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.38 : 47,698.88 = 47,698.88 : x
  2. Step 2: Convert to fraction form
    22,098.38/47,698.88 = 47,698.88/x
  3. Step 3: Cross multiply
    22,098.38x = 47,698.88 × 47,698.88
  4. Step 4: Simplify right side
    22,098.38x = 2,275,182,676.27
  5. Step 5: Solve for x
    x = 2,275,182,676.27/22,098.38
  6. Step 6: Final answer
    x = 102,957.01

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Why These Related Problems?

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