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Finding the Third Proportional to 36,758 and 56,289

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Solution

The third proportional to 36,758 and 56,289 is: 86,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,758 : 56,289 = 56,289 : x
  2. Step 2: Convert to fraction form
    36,758/56,289 = 56,289/x
  3. Step 3: Cross multiply
    36,758x = 56,289 × 56,289
  4. Step 4: Simplify right side
    36,758x = 3,168,451,521
  5. Step 5: Solve for x
    x = 3,168,451,521/36,758
  6. Step 6: Final answer
    x = 86,197.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.