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Finding the Third Proportional to 44,280 and 65,793

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Solution

The third proportional to 44,280 and 65,793 is: 97,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,280 : 65,793 = 65,793 : x
  2. Step 2: Convert to fraction form
    44,280/65,793 = 65,793/x
  3. Step 3: Cross multiply
    44,280x = 65,793 × 65,793
  4. Step 4: Simplify right side
    44,280x = 4,328,718,849
  5. Step 5: Solve for x
    x = 4,328,718,849/44,280
  6. Step 6: Final answer
    x = 97,757.88

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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.