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Finding the Third Proportional to 24,978 and 53,511

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Solution

The third proportional to 24,978 and 53,511 is: 114,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978 : 53,511 = 53,511 : x
  2. Step 2: Convert to fraction form
    24,978/53,511 = 53,511/x
  3. Step 3: Cross multiply
    24,978x = 53,511 × 53,511
  4. Step 4: Simplify right side
    24,978x = 2,863,427,121
  5. Step 5: Solve for x
    x = 2,863,427,121/24,978
  6. Step 6: Final answer
    x = 114,637.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.