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Finding the Third Proportional to 27,646.31 and 59,974.31

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Solution

The third proportional to 27,646.31 and 59,974.31 is: 130,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.31 : 59,974.31 = 59,974.31 : x
  2. Step 2: Convert to fraction form
    27,646.31/59,974.31 = 59,974.31/x
  3. Step 3: Cross multiply
    27,646.31x = 59,974.31 × 59,974.31
  4. Step 4: Simplify right side
    27,646.31x = 3,596,918,159.85
  5. Step 5: Solve for x
    x = 3,596,918,159.85/27,646.31
  6. Step 6: Final answer
    x = 130,104.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.