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Finding the Third Proportional to 10,325 and 22,306

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Solution

The third proportional to 10,325 and 22,306 is: 48,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325 : 22,306 = 22,306 : x
  2. Step 2: Convert to fraction form
    10,325/22,306 = 22,306/x
  3. Step 3: Cross multiply
    10,325x = 22,306 × 22,306
  4. Step 4: Simplify right side
    10,325x = 497,557,636
  5. Step 5: Solve for x
    x = 497,557,636/10,325
  6. Step 6: Final answer
    x = 48,189.60

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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.