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Finding the Third Proportional to 22,276.27 and 48,034.27

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Solution

The third proportional to 22,276.27 and 48,034.27 is: 103,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.27 : 48,034.27 = 48,034.27 : x
  2. Step 2: Convert to fraction form
    22,276.27/48,034.27 = 48,034.27/x
  3. Step 3: Cross multiply
    22,276.27x = 48,034.27 × 48,034.27
  4. Step 4: Simplify right side
    22,276.27x = 2,307,290,674.13
  5. Step 5: Solve for x
    x = 2,307,290,674.13/22,276.27
  6. Step 6: Final answer
    x = 103,576.19

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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.