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Finding the Third Proportional to 10,812.25 and 23,291

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Solution

The third proportional to 10,812.25 and 23,291 is: 50,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.25 : 23,291 = 23,291 : x
  2. Step 2: Convert to fraction form
    10,812.25/23,291 = 23,291/x
  3. Step 3: Cross multiply
    10,812.25x = 23,291 × 23,291
  4. Step 4: Simplify right side
    10,812.25x = 542,470,681
  5. Step 5: Solve for x
    x = 542,470,681/10,812.25
  6. Step 6: Final answer
    x = 50,171.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.