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Finding the Third Proportional to 22,586 and 48,310

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Solution

The third proportional to 22,586 and 48,310 is: 103,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586 : 48,310 = 48,310 : x
  2. Step 2: Convert to fraction form
    22,586/48,310 = 48,310/x
  3. Step 3: Cross multiply
    22,586x = 48,310 × 48,310
  4. Step 4: Simplify right side
    22,586x = 2,333,856,100
  5. Step 5: Solve for x
    x = 2,333,856,100/22,586
  6. Step 6: Final answer
    x = 103,331.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.