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Finding the Third Proportional to 22,506.28 and 49,165.13

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Solution

The third proportional to 22,506.28 and 49,165.13 is: 107,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.28 : 49,165.13 = 49,165.13 : x
  2. Step 2: Convert to fraction form
    22,506.28/49,165.13 = 49,165.13/x
  3. Step 3: Cross multiply
    22,506.28x = 49,165.13 × 49,165.13
  4. Step 4: Simplify right side
    22,506.28x = 2,417,209,516.27
  5. Step 5: Solve for x
    x = 2,417,209,516.27/22,506.28
  6. Step 6: Final answer
    x = 107,401.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.