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Finding the Third Proportional to 36,218 and 56,033.75

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Solution

The third proportional to 36,218 and 56,033.75 is: 86,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,218 : 56,033.75 = 56,033.75 : x
  2. Step 2: Convert to fraction form
    36,218/56,033.75 = 56,033.75/x
  3. Step 3: Cross multiply
    36,218x = 56,033.75 × 56,033.75
  4. Step 4: Simplify right side
    36,218x = 3,139,781,139.06
  5. Step 5: Solve for x
    x = 3,139,781,139.06/36,218
  6. Step 6: Final answer
    x = 86,691.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.