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Finding the Third Proportional to 24,732 and 51,188

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Solution

The third proportional to 24,732 and 51,188 is: 105,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732 : 51,188 = 51,188 : x
  2. Step 2: Convert to fraction form
    24,732/51,188 = 51,188/x
  3. Step 3: Cross multiply
    24,732x = 51,188 × 51,188
  4. Step 4: Simplify right side
    24,732x = 2,620,211,344
  5. Step 5: Solve for x
    x = 2,620,211,344/24,732
  6. Step 6: Final answer
    x = 105,944.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.