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Finding the Third Proportional to 10,982 and 24,202

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Solution

The third proportional to 10,982 and 24,202 is: 53,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 24,202 = 24,202 : x
  2. Step 2: Convert to fraction form
    10,982/24,202 = 24,202/x
  3. Step 3: Cross multiply
    10,982x = 24,202 × 24,202
  4. Step 4: Simplify right side
    10,982x = 585,736,804
  5. Step 5: Solve for x
    x = 585,736,804/10,982
  6. Step 6: Final answer
    x = 53,336.08

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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.