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Finding the Third Proportional to 24,961 and 54,914

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Solution

The third proportional to 24,961 and 54,914 is: 120,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961 : 54,914 = 54,914 : x
  2. Step 2: Convert to fraction form
    24,961/54,914 = 54,914/x
  3. Step 3: Cross multiply
    24,961x = 54,914 × 54,914
  4. Step 4: Simplify right side
    24,961x = 3,015,547,396
  5. Step 5: Solve for x
    x = 3,015,547,396/24,961
  6. Step 6: Final answer
    x = 120,810.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.