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Finding the Third Proportional to 24,770 and 54,438

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Solution

The third proportional to 24,770 and 54,438 is: 119,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770 : 54,438 = 54,438 : x
  2. Step 2: Convert to fraction form
    24,770/54,438 = 54,438/x
  3. Step 3: Cross multiply
    24,770x = 54,438 × 54,438
  4. Step 4: Simplify right side
    24,770x = 2,963,495,844
  5. Step 5: Solve for x
    x = 2,963,495,844/24,770
  6. Step 6: Final answer
    x = 119,640.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.