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Finding the Third Proportional to 23,853.66 and 51,856.88

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Solution

The third proportional to 23,853.66 and 51,856.88 is: 112,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.66 : 51,856.88 = 51,856.88 : x
  2. Step 2: Convert to fraction form
    23,853.66/51,856.88 = 51,856.88/x
  3. Step 3: Cross multiply
    23,853.66x = 51,856.88 × 51,856.88
  4. Step 4: Simplify right side
    23,853.66x = 2,689,135,484.77
  5. Step 5: Solve for x
    x = 2,689,135,484.77/23,853.66
  6. Step 6: Final answer
    x = 112,734.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.