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Finding the Third Proportional to 36,502 and 40,342

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Solution

The third proportional to 36,502 and 40,342 is: 44,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,502 : 40,342 = 40,342 : x
  2. Step 2: Convert to fraction form
    36,502/40,342 = 40,342/x
  3. Step 3: Cross multiply
    36,502x = 40,342 × 40,342
  4. Step 4: Simplify right side
    36,502x = 1,627,476,964
  5. Step 5: Solve for x
    x = 1,627,476,964/36,502
  6. Step 6: Final answer
    x = 44,585.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.