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Finding the Third Proportional to 45,884 and 60,468

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Solution

The third proportional to 45,884 and 60,468 is: 79,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,884 : 60,468 = 60,468 : x
  2. Step 2: Convert to fraction form
    45,884/60,468 = 60,468/x
  3. Step 3: Cross multiply
    45,884x = 60,468 × 60,468
  4. Step 4: Simplify right side
    45,884x = 3,656,379,024
  5. Step 5: Solve for x
    x = 3,656,379,024/45,884
  6. Step 6: Final answer
    x = 79,687.45

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.