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Finding the Third Proportional to 25,035 and 38,747.25

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Solution

The third proportional to 25,035 and 38,747.25 is: 59,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,035 : 38,747.25 = 38,747.25 : x
  2. Step 2: Convert to fraction form
    25,035/38,747.25 = 38,747.25/x
  3. Step 3: Cross multiply
    25,035x = 38,747.25 × 38,747.25
  4. Step 4: Simplify right side
    25,035x = 1,501,349,382.56
  5. Step 5: Solve for x
    x = 1,501,349,382.56/25,035
  6. Step 6: Final answer
    x = 59,970.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.