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Finding the Third Proportional to 16,597 and 36,301

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Solution

The third proportional to 16,597 and 36,301 is: 79,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597 : 36,301 = 36,301 : x
  2. Step 2: Convert to fraction form
    16,597/36,301 = 36,301/x
  3. Step 3: Cross multiply
    16,597x = 36,301 × 36,301
  4. Step 4: Simplify right side
    16,597x = 1,317,762,601
  5. Step 5: Solve for x
    x = 1,317,762,601/16,597
  6. Step 6: Final answer
    x = 79,397.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.