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Finding the Third Proportional to 10,854.50 and 22,285

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Solution

The third proportional to 10,854.50 and 22,285 is: 45,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.50 : 22,285 = 22,285 : x
  2. Step 2: Convert to fraction form
    10,854.50/22,285 = 22,285/x
  3. Step 3: Cross multiply
    10,854.50x = 22,285 × 22,285
  4. Step 4: Simplify right side
    10,854.50x = 496,621,225
  5. Step 5: Solve for x
    x = 496,621,225/10,854.50
  6. Step 6: Final answer
    x = 45,752.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.