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Finding the Third Proportional to 22,626 and 36,229.50

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Solution

The third proportional to 22,626 and 36,229.50 is: 58,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626 : 36,229.50 = 36,229.50 : x
  2. Step 2: Convert to fraction form
    22,626/36,229.50 = 36,229.50/x
  3. Step 3: Cross multiply
    22,626x = 36,229.50 × 36,229.50
  4. Step 4: Simplify right side
    22,626x = 1,312,576,670.25
  5. Step 5: Solve for x
    x = 1,312,576,670.25/22,626
  6. Step 6: Final answer
    x = 58,011.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.