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Finding the Third Proportional to 44,664 and 60,656

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Solution

The third proportional to 44,664 and 60,656 is: 82,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,664 : 60,656 = 60,656 : x
  2. Step 2: Convert to fraction form
    44,664/60,656 = 60,656/x
  3. Step 3: Cross multiply
    44,664x = 60,656 × 60,656
  4. Step 4: Simplify right side
    44,664x = 3,679,150,336
  5. Step 5: Solve for x
    x = 3,679,150,336/44,664
  6. Step 6: Final answer
    x = 82,373.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.