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Finding the Third Proportional to 36,238 and 51,320

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Solution

The third proportional to 36,238 and 51,320 is: 72,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238 : 51,320 = 51,320 : x
  2. Step 2: Convert to fraction form
    36,238/51,320 = 51,320/x
  3. Step 3: Cross multiply
    36,238x = 51,320 × 51,320
  4. Step 4: Simplify right side
    36,238x = 2,633,742,400
  5. Step 5: Solve for x
    x = 2,633,742,400/36,238
  6. Step 6: Final answer
    x = 72,679.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.