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Finding the Third Proportional to 15,105 and 22,212.75

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Solution

The third proportional to 15,105 and 22,212.75 is: 32,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105 : 22,212.75 = 22,212.75 : x
  2. Step 2: Convert to fraction form
    15,105/22,212.75 = 22,212.75/x
  3. Step 3: Cross multiply
    15,105x = 22,212.75 × 22,212.75
  4. Step 4: Simplify right side
    15,105x = 493,406,262.56
  5. Step 5: Solve for x
    x = 493,406,262.56/15,105
  6. Step 6: Final answer
    x = 32,665.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.