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Finding the Third Proportional to 36,834.50 and 79,538

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Solution

The third proportional to 36,834.50 and 79,538 is: 171,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834.50 : 79,538 = 79,538 : x
  2. Step 2: Convert to fraction form
    36,834.50/79,538 = 79,538/x
  3. Step 3: Cross multiply
    36,834.50x = 79,538 × 79,538
  4. Step 4: Simplify right side
    36,834.50x = 6,326,293,444
  5. Step 5: Solve for x
    x = 6,326,293,444/36,834.50
  6. Step 6: Final answer
    x = 171,749.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.