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Finding the Third Proportional to 15,859.13 and 34,856.38

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Solution

The third proportional to 15,859.13 and 34,856.38 is: 76,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.13 : 34,856.38 = 34,856.38 : x
  2. Step 2: Convert to fraction form
    15,859.13/34,856.38 = 34,856.38/x
  3. Step 3: Cross multiply
    15,859.13x = 34,856.38 × 34,856.38
  4. Step 4: Simplify right side
    15,859.13x = 1,214,966,878.14
  5. Step 5: Solve for x
    x = 1,214,966,878.14/15,859.13
  6. Step 6: Final answer
    x = 76,609.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.