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Finding the Third Proportional to 27,259.50 and 36,633

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Solution

The third proportional to 27,259.50 and 36,633 is: 49,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259.50 : 36,633 = 36,633 : x
  2. Step 2: Convert to fraction form
    27,259.50/36,633 = 36,633/x
  3. Step 3: Cross multiply
    27,259.50x = 36,633 × 36,633
  4. Step 4: Simplify right side
    27,259.50x = 1,341,976,689
  5. Step 5: Solve for x
    x = 1,341,976,689/27,259.50
  6. Step 6: Final answer
    x = 49,229.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.