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Finding the Third Proportional to 36,629 and 78,442

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Solution

The third proportional to 36,629 and 78,442 is: 167,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,629 : 78,442 = 78,442 : x
  2. Step 2: Convert to fraction form
    36,629/78,442 = 78,442/x
  3. Step 3: Cross multiply
    36,629x = 78,442 × 78,442
  4. Step 4: Simplify right side
    36,629x = 6,153,147,364
  5. Step 5: Solve for x
    x = 6,153,147,364/36,629
  6. Step 6: Final answer
    x = 167,985.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.