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Finding the Third Proportional to 15,597 and 34,213

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Solution

The third proportional to 15,597 and 34,213 is: 75,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597 : 34,213 = 34,213 : x
  2. Step 2: Convert to fraction form
    15,597/34,213 = 34,213/x
  3. Step 3: Cross multiply
    15,597x = 34,213 × 34,213
  4. Step 4: Simplify right side
    15,597x = 1,170,529,369
  5. Step 5: Solve for x
    x = 1,170,529,369/15,597
  6. Step 6: Final answer
    x = 75,048.37

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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.