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Finding the Third Proportional to 26,585 and 36,120.50

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Solution

The third proportional to 26,585 and 36,120.50 is: 49,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585 : 36,120.50 = 36,120.50 : x
  2. Step 2: Convert to fraction form
    26,585/36,120.50 = 36,120.50/x
  3. Step 3: Cross multiply
    26,585x = 36,120.50 × 36,120.50
  4. Step 4: Simplify right side
    26,585x = 1,304,690,520.25
  5. Step 5: Solve for x
    x = 1,304,690,520.25/26,585
  6. Step 6: Final answer
    x = 49,076.19

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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.