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Finding the Third Proportional to 24,662 and 53,930

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Solution

The third proportional to 24,662 and 53,930 is: 117,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662 : 53,930 = 53,930 : x
  2. Step 2: Convert to fraction form
    24,662/53,930 = 53,930/x
  3. Step 3: Cross multiply
    24,662x = 53,930 × 53,930
  4. Step 4: Simplify right side
    24,662x = 2,908,444,900
  5. Step 5: Solve for x
    x = 2,908,444,900/24,662
  6. Step 6: Final answer
    x = 117,932.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.