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Finding the Third Proportional to 37,356 and 80,376

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Solution

The third proportional to 37,356 and 80,376 is: 172,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,356 : 80,376 = 80,376 : x
  2. Step 2: Convert to fraction form
    37,356/80,376 = 80,376/x
  3. Step 3: Cross multiply
    37,356x = 80,376 × 80,376
  4. Step 4: Simplify right side
    37,356x = 6,460,301,376
  5. Step 5: Solve for x
    x = 6,460,301,376/37,356
  6. Step 6: Final answer
    x = 172,938.79

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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.