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Finding the Third Proportional to 44,768 and 60,588

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Solution

The third proportional to 44,768 and 60,588 is: 81,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,768 : 60,588 = 60,588 : x
  2. Step 2: Convert to fraction form
    44,768/60,588 = 60,588/x
  3. Step 3: Cross multiply
    44,768x = 60,588 × 60,588
  4. Step 4: Simplify right side
    44,768x = 3,670,905,744
  5. Step 5: Solve for x
    x = 3,670,905,744/44,768
  6. Step 6: Final answer
    x = 81,998.43

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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.