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Finding the Third Proportional to 37,523 and 79,414

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Solution

The third proportional to 37,523 and 79,414 is: 168,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,523 : 79,414 = 79,414 : x
  2. Step 2: Convert to fraction form
    37,523/79,414 = 79,414/x
  3. Step 3: Cross multiply
    37,523x = 79,414 × 79,414
  4. Step 4: Simplify right side
    37,523x = 6,306,583,396
  5. Step 5: Solve for x
    x = 6,306,583,396/37,523
  6. Step 6: Final answer
    x = 168,072.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.