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Finding the Third Proportional to 15,101 and 22,615

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Solution

The third proportional to 15,101 and 22,615 is: 33,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101 : 22,615 = 22,615 : x
  2. Step 2: Convert to fraction form
    15,101/22,615 = 22,615/x
  3. Step 3: Cross multiply
    15,101x = 22,615 × 22,615
  4. Step 4: Simplify right side
    15,101x = 511,438,225
  5. Step 5: Solve for x
    x = 511,438,225/15,101
  6. Step 6: Final answer
    x = 33,867.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.