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Finding the Third Proportional to 31,316.25 and 55,192.88

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Solution

The third proportional to 31,316.25 and 55,192.88 is: 97,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,316.25 : 55,192.88 = 55,192.88 : x
  2. Step 2: Convert to fraction form
    31,316.25/55,192.88 = 55,192.88/x
  3. Step 3: Cross multiply
    31,316.25x = 55,192.88 × 55,192.88
  4. Step 4: Simplify right side
    31,316.25x = 3,046,253,450.77
  5. Step 5: Solve for x
    x = 3,046,253,450.77/31,316.25
  6. Step 6: Final answer
    x = 97,273.89

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.