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Finding the Third Proportional to 45,887 and 61,918

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Solution

The third proportional to 45,887 and 61,918 is: 83,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,887 : 61,918 = 61,918 : x
  2. Step 2: Convert to fraction form
    45,887/61,918 = 61,918/x
  3. Step 3: Cross multiply
    45,887x = 61,918 × 61,918
  4. Step 4: Simplify right side
    45,887x = 3,833,838,724
  5. Step 5: Solve for x
    x = 3,833,838,724/45,887
  6. Step 6: Final answer
    x = 83,549.56

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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.