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Finding the Third Proportional to 15,934 and 34,037

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Solution

The third proportional to 15,934 and 34,037 is: 72,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934 : 34,037 = 34,037 : x
  2. Step 2: Convert to fraction form
    15,934/34,037 = 34,037/x
  3. Step 3: Cross multiply
    15,934x = 34,037 × 34,037
  4. Step 4: Simplify right side
    15,934x = 1,158,517,369
  5. Step 5: Solve for x
    x = 1,158,517,369/15,934
  6. Step 6: Final answer
    x = 72,707.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.