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Finding the Third Proportional to 15,962 and 34,294

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Solution

The third proportional to 15,962 and 34,294 is: 73,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,962 : 34,294 = 34,294 : x
  2. Step 2: Convert to fraction form
    15,962/34,294 = 34,294/x
  3. Step 3: Cross multiply
    15,962x = 34,294 × 34,294
  4. Step 4: Simplify right side
    15,962x = 1,176,078,436
  5. Step 5: Solve for x
    x = 1,176,078,436/15,962
  6. Step 6: Final answer
    x = 73,679.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.