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Finding the Third Proportional to 34,201.13 and 54,635.88

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Solution

The third proportional to 34,201.13 and 54,635.88 is: 87,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.13 : 54,635.88 = 54,635.88 : x
  2. Step 2: Convert to fraction form
    34,201.13/54,635.88 = 54,635.88/x
  3. Step 3: Cross multiply
    34,201.13x = 54,635.88 × 54,635.88
  4. Step 4: Simplify right side
    34,201.13x = 2,985,078,837.02
  5. Step 5: Solve for x
    x = 2,985,078,837.02/34,201.13
  6. Step 6: Final answer
    x = 87,280.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.