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Finding the Third Proportional to 45,882 and 61,911

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Solution

The third proportional to 45,882 and 61,911 is: 83,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882 : 61,911 = 61,911 : x
  2. Step 2: Convert to fraction form
    45,882/61,911 = 61,911/x
  3. Step 3: Cross multiply
    45,882x = 61,911 × 61,911
  4. Step 4: Simplify right side
    45,882x = 3,832,971,921
  5. Step 5: Solve for x
    x = 3,832,971,921/45,882
  6. Step 6: Final answer
    x = 83,539.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.