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Finding the Third Proportional to 25,200.13 and 54,135.88

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Solution

The third proportional to 25,200.13 and 54,135.88 is: 116,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.13 : 54,135.88 = 54,135.88 : x
  2. Step 2: Convert to fraction form
    25,200.13/54,135.88 = 54,135.88/x
  3. Step 3: Cross multiply
    25,200.13x = 54,135.88 × 54,135.88
  4. Step 4: Simplify right side
    25,200.13x = 2,930,692,962.02
  5. Step 5: Solve for x
    x = 2,930,692,962.02/25,200.13
  6. Step 6: Final answer
    x = 116,296.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.