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Finding the Third Proportional to 15,860 and 34,156

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Solution

The third proportional to 15,860 and 34,156 is: 73,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860 : 34,156 = 34,156 : x
  2. Step 2: Convert to fraction form
    15,860/34,156 = 34,156/x
  3. Step 3: Cross multiply
    15,860x = 34,156 × 34,156
  4. Step 4: Simplify right side
    15,860x = 1,166,632,336
  5. Step 5: Solve for x
    x = 1,166,632,336/15,860
  6. Step 6: Final answer
    x = 73,558.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.