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Finding the Third Proportional to 37,316 and 80,952

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Solution

The third proportional to 37,316 and 80,952 is: 175,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,316 : 80,952 = 80,952 : x
  2. Step 2: Convert to fraction form
    37,316/80,952 = 80,952/x
  3. Step 3: Cross multiply
    37,316x = 80,952 × 80,952
  4. Step 4: Simplify right side
    37,316x = 6,553,226,304
  5. Step 5: Solve for x
    x = 6,553,226,304/37,316
  6. Step 6: Final answer
    x = 175,614.38

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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.