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Finding the Third Proportional to 25,882 and 40,091

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Solution

The third proportional to 25,882 and 40,091 is: 62,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882 : 40,091 = 40,091 : x
  2. Step 2: Convert to fraction form
    25,882/40,091 = 40,091/x
  3. Step 3: Cross multiply
    25,882x = 40,091 × 40,091
  4. Step 4: Simplify right side
    25,882x = 1,607,288,281
  5. Step 5: Solve for x
    x = 1,607,288,281/25,882
  6. Step 6: Final answer
    x = 62,100.62

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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.