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Finding the Third Proportional to 23,290 and 50,285

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Solution

The third proportional to 23,290 and 50,285 is: 108,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290 : 50,285 = 50,285 : x
  2. Step 2: Convert to fraction form
    23,290/50,285 = 50,285/x
  3. Step 3: Cross multiply
    23,290x = 50,285 × 50,285
  4. Step 4: Simplify right side
    23,290x = 2,528,581,225
  5. Step 5: Solve for x
    x = 2,528,581,225/23,290
  6. Step 6: Final answer
    x = 108,569.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.