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Finding the Third Proportional to 36,559 and 79,382

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Solution

The third proportional to 36,559 and 79,382 is: 172,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,559 : 79,382 = 79,382 : x
  2. Step 2: Convert to fraction form
    36,559/79,382 = 79,382/x
  3. Step 3: Cross multiply
    36,559x = 79,382 × 79,382
  4. Step 4: Simplify right side
    36,559x = 6,301,501,924
  5. Step 5: Solve for x
    x = 6,301,501,924/36,559
  6. Step 6: Final answer
    x = 172,365.27

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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.