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Finding the Third Proportional to 5,342 and 9,898

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Solution

The third proportional to 5,342 and 9,898 is: 18,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342 : 9,898 = 9,898 : x
  2. Step 2: Convert to fraction form
    5,342/9,898 = 9,898/x
  3. Step 3: Cross multiply
    5,342x = 9,898 × 9,898
  4. Step 4: Simplify right side
    5,342x = 97,970,404
  5. Step 5: Solve for x
    x = 97,970,404/5,342
  6. Step 6: Final answer
    x = 18,339.65

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.