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Finding the Third Proportional to 20,055.38 and 31,192.31

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Solution

The third proportional to 20,055.38 and 31,192.31 is: 48,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.38 : 31,192.31 = 31,192.31 : x
  2. Step 2: Convert to fraction form
    20,055.38/31,192.31 = 31,192.31/x
  3. Step 3: Cross multiply
    20,055.38x = 31,192.31 × 31,192.31
  4. Step 4: Simplify right side
    20,055.38x = 972,960,359.10
  5. Step 5: Solve for x
    x = 972,960,359.10/20,055.38
  6. Step 6: Final answer
    x = 48,513.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.