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Finding the Third Proportional to 15,959 and 34,090

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Solution

The third proportional to 15,959 and 34,090 is: 72,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959 : 34,090 = 34,090 : x
  2. Step 2: Convert to fraction form
    15,959/34,090 = 34,090/x
  3. Step 3: Cross multiply
    15,959x = 34,090 × 34,090
  4. Step 4: Simplify right side
    15,959x = 1,162,128,100
  5. Step 5: Solve for x
    x = 1,162,128,100/15,959
  6. Step 6: Final answer
    x = 72,819.61

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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.