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Finding the Third Proportional to 20,534.77 and 31,708.97

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Solution

The third proportional to 20,534.77 and 31,708.97 is: 48,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.77 : 31,708.97 = 31,708.97 : x
  2. Step 2: Convert to fraction form
    20,534.77/31,708.97 = 31,708.97/x
  3. Step 3: Cross multiply
    20,534.77x = 31,708.97 × 31,708.97
  4. Step 4: Simplify right side
    20,534.77x = 1,005,458,699.19
  5. Step 5: Solve for x
    x = 1,005,458,699.19/20,534.77
  6. Step 6: Final answer
    x = 48,963.73

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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.