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Finding the Third Proportional to 4,753.69 and 12,856.22

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Solution

The third proportional to 4,753.69 and 12,856.22 is: 34,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.69 : 12,856.22 = 12,856.22 : x
  2. Step 2: Convert to fraction form
    4,753.69/12,856.22 = 12,856.22/x
  3. Step 3: Cross multiply
    4,753.69x = 12,856.22 × 12,856.22
  4. Step 4: Simplify right side
    4,753.69x = 165,282,360.55
  5. Step 5: Solve for x
    x = 165,282,360.55/4,753.69
  6. Step 6: Final answer
    x = 34,769.29

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.