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Finding the Third Proportional to 23,626 and 32,101

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Solution

The third proportional to 23,626 and 32,101 is: 43,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626 : 32,101 = 32,101 : x
  2. Step 2: Convert to fraction form
    23,626/32,101 = 32,101/x
  3. Step 3: Cross multiply
    23,626x = 32,101 × 32,101
  4. Step 4: Simplify right side
    23,626x = 1,030,474,201
  5. Step 5: Solve for x
    x = 1,030,474,201/23,626
  6. Step 6: Final answer
    x = 43,616.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.