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Finding the Third Proportional to 24,651 and 53,118

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Solution

The third proportional to 24,651 and 53,118 is: 114,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651 : 53,118 = 53,118 : x
  2. Step 2: Convert to fraction form
    24,651/53,118 = 53,118/x
  3. Step 3: Cross multiply
    24,651x = 53,118 × 53,118
  4. Step 4: Simplify right side
    24,651x = 2,821,521,924
  5. Step 5: Solve for x
    x = 2,821,521,924/24,651
  6. Step 6: Final answer
    x = 114,458.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.