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Finding the Third Proportional to 25,524 and 38,845.50

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Solution

The third proportional to 25,524 and 38,845.50 is: 59,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524 : 38,845.50 = 38,845.50 : x
  2. Step 2: Convert to fraction form
    25,524/38,845.50 = 38,845.50/x
  3. Step 3: Cross multiply
    25,524x = 38,845.50 × 38,845.50
  4. Step 4: Simplify right side
    25,524x = 1,508,972,870.25
  5. Step 5: Solve for x
    x = 1,508,972,870.25/25,524
  6. Step 6: Final answer
    x = 59,119.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.