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Finding the Third Proportional to 24,750 and 53,970

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Solution

The third proportional to 24,750 and 53,970 is: 117,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 53,970 = 53,970 : x
  2. Step 2: Convert to fraction form
    24,750/53,970 = 53,970/x
  3. Step 3: Cross multiply
    24,750x = 53,970 × 53,970
  4. Step 4: Simplify right side
    24,750x = 2,912,760,900
  5. Step 5: Solve for x
    x = 2,912,760,900/24,750
  6. Step 6: Final answer
    x = 117,687.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.