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Finding the Third Proportional to 44,656 and 60,646

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Solution

The third proportional to 44,656 and 60,646 is: 82,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656 : 60,646 = 60,646 : x
  2. Step 2: Convert to fraction form
    44,656/60,646 = 60,646/x
  3. Step 3: Cross multiply
    44,656x = 60,646 × 60,646
  4. Step 4: Simplify right side
    44,656x = 3,677,937,316
  5. Step 5: Solve for x
    x = 3,677,937,316/44,656
  6. Step 6: Final answer
    x = 82,361.55

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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.