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Finding the Third Proportional to 26,320 and 36,184

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Solution

The third proportional to 26,320 and 36,184 is: 49,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,320 : 36,184 = 36,184 : x
  2. Step 2: Convert to fraction form
    26,320/36,184 = 36,184/x
  3. Step 3: Cross multiply
    26,320x = 36,184 × 36,184
  4. Step 4: Simplify right side
    26,320x = 1,309,281,856
  5. Step 5: Solve for x
    x = 1,309,281,856/26,320
  6. Step 6: Final answer
    x = 49,744.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.