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Finding the Third Proportional to 33,597 and 47,089

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Solution

The third proportional to 33,597 and 47,089 is: 65,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597 : 47,089 = 47,089 : x
  2. Step 2: Convert to fraction form
    33,597/47,089 = 47,089/x
  3. Step 3: Cross multiply
    33,597x = 47,089 × 47,089
  4. Step 4: Simplify right side
    33,597x = 2,217,373,921
  5. Step 5: Solve for x
    x = 2,217,373,921/33,597
  6. Step 6: Final answer
    x = 65,999.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.