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Finding the Third Proportional to 37,552 and 81,304

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Solution

The third proportional to 37,552 and 81,304 is: 176,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,552 : 81,304 = 81,304 : x
  2. Step 2: Convert to fraction form
    37,552/81,304 = 81,304/x
  3. Step 3: Cross multiply
    37,552x = 81,304 × 81,304
  4. Step 4: Simplify right side
    37,552x = 6,610,340,416
  5. Step 5: Solve for x
    x = 6,610,340,416/37,552
  6. Step 6: Final answer
    x = 176,031.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.