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Finding the Third Proportional to 37,380 and 79,602

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Solution

The third proportional to 37,380 and 79,602 is: 169,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,380 : 79,602 = 79,602 : x
  2. Step 2: Convert to fraction form
    37,380/79,602 = 79,602/x
  3. Step 3: Cross multiply
    37,380x = 79,602 × 79,602
  4. Step 4: Simplify right side
    37,380x = 6,336,478,404
  5. Step 5: Solve for x
    x = 6,336,478,404/37,380
  6. Step 6: Final answer
    x = 169,515.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.