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Finding the Third Proportional to 22,270.10 and 48,021.45

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Solution

The third proportional to 22,270.10 and 48,021.45 is: 103,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.10 : 48,021.45 = 48,021.45 : x
  2. Step 2: Convert to fraction form
    22,270.10/48,021.45 = 48,021.45/x
  3. Step 3: Cross multiply
    22,270.10x = 48,021.45 × 48,021.45
  4. Step 4: Simplify right side
    22,270.10x = 2,306,059,772.65
  5. Step 5: Solve for x
    x = 2,306,059,772.65/22,270.10
  6. Step 6: Final answer
    x = 103,549.61

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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.