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Finding the Third Proportional to 36,597 and 74,922

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Solution

The third proportional to 36,597 and 74,922 is: 153,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,597 : 74,922 = 74,922 : x
  2. Step 2: Convert to fraction form
    36,597/74,922 = 74,922/x
  3. Step 3: Cross multiply
    36,597x = 74,922 × 74,922
  4. Step 4: Simplify right side
    36,597x = 5,613,306,084
  5. Step 5: Solve for x
    x = 5,613,306,084/36,597
  6. Step 6: Final answer
    x = 153,381.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.