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Finding the Third Proportional to 44,779 and 66,543

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Solution

The third proportional to 44,779 and 66,543 is: 98,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,779 : 66,543 = 66,543 : x
  2. Step 2: Convert to fraction form
    44,779/66,543 = 66,543/x
  3. Step 3: Cross multiply
    44,779x = 66,543 × 66,543
  4. Step 4: Simplify right side
    44,779x = 4,427,970,849
  5. Step 5: Solve for x
    x = 4,427,970,849/44,779
  6. Step 6: Final answer
    x = 98,884.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.