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Finding the Third Proportional to 31,566.38 and 47,881.13

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Solution

The third proportional to 31,566.38 and 47,881.13 is: 72,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.38 : 47,881.13 = 47,881.13 : x
  2. Step 2: Convert to fraction form
    31,566.38/47,881.13 = 47,881.13/x
  3. Step 3: Cross multiply
    31,566.38x = 47,881.13 × 47,881.13
  4. Step 4: Simplify right side
    31,566.38x = 2,292,602,131.27
  5. Step 5: Solve for x
    x = 2,292,602,131.27/31,566.38
  6. Step 6: Final answer
    x = 72,627.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.