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Finding the Third Proportional to 23,770.13 and 27,172.13

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Solution

The third proportional to 23,770.13 and 27,172.13 is: 31,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.13 : 27,172.13 = 27,172.13 : x
  2. Step 2: Convert to fraction form
    23,770.13/27,172.13 = 27,172.13/x
  3. Step 3: Cross multiply
    23,770.13x = 27,172.13 × 27,172.13
  4. Step 4: Simplify right side
    23,770.13x = 738,324,377.02
  5. Step 5: Solve for x
    x = 738,324,377.02/23,770.13
  6. Step 6: Final answer
    x = 31,061.02

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.