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Finding the Third Proportional to 5,098 and 10,524

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Solution

The third proportional to 5,098 and 10,524 is: 21,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098 : 10,524 = 10,524 : x
  2. Step 2: Convert to fraction form
    5,098/10,524 = 10,524/x
  3. Step 3: Cross multiply
    5,098x = 10,524 × 10,524
  4. Step 4: Simplify right side
    5,098x = 110,754,576
  5. Step 5: Solve for x
    x = 110,754,576/5,098
  6. Step 6: Final answer
    x = 21,725.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.