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Finding the Third Proportional to 25,562 and 38,775

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Solution

The third proportional to 25,562 and 38,775 is: 58,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562 : 38,775 = 38,775 : x
  2. Step 2: Convert to fraction form
    25,562/38,775 = 38,775/x
  3. Step 3: Cross multiply
    25,562x = 38,775 × 38,775
  4. Step 4: Simplify right side
    25,562x = 1,503,500,625
  5. Step 5: Solve for x
    x = 1,503,500,625/25,562
  6. Step 6: Final answer
    x = 58,817.80

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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.