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Finding the Third Proportional to 20,332.27 and 31,267.27

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Solution

The third proportional to 20,332.27 and 31,267.27 is: 48,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332.27 : 31,267.27 = 31,267.27 : x
  2. Step 2: Convert to fraction form
    20,332.27/31,267.27 = 31,267.27/x
  3. Step 3: Cross multiply
    20,332.27x = 31,267.27 × 31,267.27
  4. Step 4: Simplify right side
    20,332.27x = 977,641,899.66
  5. Step 5: Solve for x
    x = 977,641,899.66/20,332.27
  6. Step 6: Final answer
    x = 48,083.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.