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Finding the Third Proportional to 5,402.95 and 11,752.59

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Solution

The third proportional to 5,402.95 and 11,752.59 is: 25,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.95 : 11,752.59 = 11,752.59 : x
  2. Step 2: Convert to fraction form
    5,402.95/11,752.59 = 11,752.59/x
  3. Step 3: Cross multiply
    5,402.95x = 11,752.59 × 11,752.59
  4. Step 4: Simplify right side
    5,402.95x = 138,123,459.85
  5. Step 5: Solve for x
    x = 138,123,459.85/5,402.95
  6. Step 6: Final answer
    x = 25,564.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.