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Finding the Third Proportional to 27,031.50 and 59,154.75

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Solution

The third proportional to 27,031.50 and 59,154.75 is: 129,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.50 : 59,154.75 = 59,154.75 : x
  2. Step 2: Convert to fraction form
    27,031.50/59,154.75 = 59,154.75/x
  3. Step 3: Cross multiply
    27,031.50x = 59,154.75 × 59,154.75
  4. Step 4: Simplify right side
    27,031.50x = 3,499,284,447.56
  5. Step 5: Solve for x
    x = 3,499,284,447.56/27,031.50
  6. Step 6: Final answer
    x = 129,452.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.