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Finding the Third Proportional to 44,738 and 60,543

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Solution

The third proportional to 44,738 and 60,543 is: 81,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,738 : 60,543 = 60,543 : x
  2. Step 2: Convert to fraction form
    44,738/60,543 = 60,543/x
  3. Step 3: Cross multiply
    44,738x = 60,543 × 60,543
  4. Step 4: Simplify right side
    44,738x = 3,665,454,849
  5. Step 5: Solve for x
    x = 3,665,454,849/44,738
  6. Step 6: Final answer
    x = 81,931.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.