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Finding the Third Proportional to 25,452 and 55,424

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Solution

The third proportional to 25,452 and 55,424 is: 120,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452 : 55,424 = 55,424 : x
  2. Step 2: Convert to fraction form
    25,452/55,424 = 55,424/x
  3. Step 3: Cross multiply
    25,452x = 55,424 × 55,424
  4. Step 4: Simplify right side
    25,452x = 3,071,819,776
  5. Step 5: Solve for x
    x = 3,071,819,776/25,452
  6. Step 6: Final answer
    x = 120,690.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.