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Finding the Third Proportional to 10,270.13 and 22,146.75

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Solution

The third proportional to 10,270.13 and 22,146.75 is: 47,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.13 : 22,146.75 = 22,146.75 : x
  2. Step 2: Convert to fraction form
    10,270.13/22,146.75 = 22,146.75/x
  3. Step 3: Cross multiply
    10,270.13x = 22,146.75 × 22,146.75
  4. Step 4: Simplify right side
    10,270.13x = 490,478,535.56
  5. Step 5: Solve for x
    x = 490,478,535.56/10,270.13
  6. Step 6: Final answer
    x = 47,757.80

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