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Finding the Third Proportional to 22,856.50 and 34,285

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Solution

The third proportional to 22,856.50 and 34,285 is: 51,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.50 : 34,285 = 34,285 : x
  2. Step 2: Convert to fraction form
    22,856.50/34,285 = 34,285/x
  3. Step 3: Cross multiply
    22,856.50x = 34,285 × 34,285
  4. Step 4: Simplify right side
    22,856.50x = 1,175,461,225
  5. Step 5: Solve for x
    x = 1,175,461,225/22,856.50
  6. Step 6: Final answer
    x = 51,427.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.