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Finding the Third Proportional to 15,697 and 34,346

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Solution

The third proportional to 15,697 and 34,346 is: 75,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 34,346 = 34,346 : x
  2. Step 2: Convert to fraction form
    15,697/34,346 = 34,346/x
  3. Step 3: Cross multiply
    15,697x = 34,346 × 34,346
  4. Step 4: Simplify right side
    15,697x = 1,179,647,716
  5. Step 5: Solve for x
    x = 1,179,647,716/15,697
  6. Step 6: Final answer
    x = 75,151.16

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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.