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Finding the Third Proportional to 24,970 and 54,845

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Solution

The third proportional to 24,970 and 54,845 is: 120,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970 : 54,845 = 54,845 : x
  2. Step 2: Convert to fraction form
    24,970/54,845 = 54,845/x
  3. Step 3: Cross multiply
    24,970x = 54,845 × 54,845
  4. Step 4: Simplify right side
    24,970x = 3,007,974,025
  5. Step 5: Solve for x
    x = 3,007,974,025/24,970
  6. Step 6: Final answer
    x = 120,463.52

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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.