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Finding the Third Proportional to 10,162.13 and 20,972.25

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Solution

The third proportional to 10,162.13 and 20,972.25 is: 43,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.13 : 20,972.25 = 20,972.25 : x
  2. Step 2: Convert to fraction form
    10,162.13/20,972.25 = 20,972.25/x
  3. Step 3: Cross multiply
    10,162.13x = 20,972.25 × 20,972.25
  4. Step 4: Simplify right side
    10,162.13x = 439,835,270.06
  5. Step 5: Solve for x
    x = 439,835,270.06/10,162.13
  6. Step 6: Final answer
    x = 43,281.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.