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Finding the Third Proportional to 37,521 and 80,289

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Solution

The third proportional to 37,521 and 80,289 is: 171,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,521 : 80,289 = 80,289 : x
  2. Step 2: Convert to fraction form
    37,521/80,289 = 80,289/x
  3. Step 3: Cross multiply
    37,521x = 80,289 × 80,289
  4. Step 4: Simplify right side
    37,521x = 6,446,323,521
  5. Step 5: Solve for x
    x = 6,446,323,521/37,521
  6. Step 6: Final answer
    x = 171,805.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.