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Finding the Third Proportional to 10,227.75 and 22,302.38

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Solution

The third proportional to 10,227.75 and 22,302.38 is: 48,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.75 : 22,302.38 = 22,302.38 : x
  2. Step 2: Convert to fraction form
    10,227.75/22,302.38 = 22,302.38/x
  3. Step 3: Cross multiply
    10,227.75x = 22,302.38 × 22,302.38
  4. Step 4: Simplify right side
    10,227.75x = 497,395,930.64
  5. Step 5: Solve for x
    x = 497,395,930.64/10,227.75
  6. Step 6: Final answer
    x = 48,632.00

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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.