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Finding the Third Proportional to 31,897.13 and 74,503.13

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Solution

The third proportional to 31,897.13 and 74,503.13 is: 174,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.13 : 74,503.13 = 74,503.13 : x
  2. Step 2: Convert to fraction form
    31,897.13/74,503.13 = 74,503.13/x
  3. Step 3: Cross multiply
    31,897.13x = 74,503.13 × 74,503.13
  4. Step 4: Simplify right side
    31,897.13x = 5,550,715,634.77
  5. Step 5: Solve for x
    x = 5,550,715,634.77/31,897.13
  6. Step 6: Final answer
    x = 174,019.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.