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Finding the Third Proportional to 10,982 and 24,154

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Solution

The third proportional to 10,982 and 24,154 is: 53,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 24,154 = 24,154 : x
  2. Step 2: Convert to fraction form
    10,982/24,154 = 24,154/x
  3. Step 3: Cross multiply
    10,982x = 24,154 × 24,154
  4. Step 4: Simplify right side
    10,982x = 583,415,716
  5. Step 5: Solve for x
    x = 583,415,716/10,982
  6. Step 6: Final answer
    x = 53,124.72

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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.