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Finding the Third Proportional to 24,662 and 53,927

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Solution

The third proportional to 24,662 and 53,927 is: 117,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662 : 53,927 = 53,927 : x
  2. Step 2: Convert to fraction form
    24,662/53,927 = 53,927/x
  3. Step 3: Cross multiply
    24,662x = 53,927 × 53,927
  4. Step 4: Simplify right side
    24,662x = 2,908,121,329
  5. Step 5: Solve for x
    x = 2,908,121,329/24,662
  6. Step 6: Final answer
    x = 117,919.12

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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.