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Finding the Third Proportional to 15,103.13 and 22,192.31

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Solution

The third proportional to 15,103.13 and 22,192.31 is: 32,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,103.13 : 22,192.31 = 22,192.31 : x
  2. Step 2: Convert to fraction form
    15,103.13/22,192.31 = 22,192.31/x
  3. Step 3: Cross multiply
    15,103.13x = 22,192.31 × 22,192.31
  4. Step 4: Simplify right side
    15,103.13x = 492,498,734.10
  5. Step 5: Solve for x
    x = 492,498,734.10/15,103.13
  6. Step 6: Final answer
    x = 32,609.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.