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Finding the Third Proportional to 7,342 and 15,836

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Solution

The third proportional to 7,342 and 15,836 is: 34,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342 : 15,836 = 15,836 : x
  2. Step 2: Convert to fraction form
    7,342/15,836 = 15,836/x
  3. Step 3: Cross multiply
    7,342x = 15,836 × 15,836
  4. Step 4: Simplify right side
    7,342x = 250,778,896
  5. Step 5: Solve for x
    x = 250,778,896/7,342
  6. Step 6: Final answer
    x = 34,156.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.