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Finding the Third Proportional to 10,253.25 and 22,115.25

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Solution

The third proportional to 10,253.25 and 22,115.25 is: 47,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.25 : 22,115.25 = 22,115.25 : x
  2. Step 2: Convert to fraction form
    10,253.25/22,115.25 = 22,115.25/x
  3. Step 3: Cross multiply
    10,253.25x = 22,115.25 × 22,115.25
  4. Step 4: Simplify right side
    10,253.25x = 489,084,282.56
  5. Step 5: Solve for x
    x = 489,084,282.56/10,253.25
  6. Step 6: Final answer
    x = 47,700.42

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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.