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Finding the Third Proportional to 36,348.75 and 77,013

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Solution

The third proportional to 36,348.75 and 77,013 is: 163,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348.75 : 77,013 = 77,013 : x
  2. Step 2: Convert to fraction form
    36,348.75/77,013 = 77,013/x
  3. Step 3: Cross multiply
    36,348.75x = 77,013 × 77,013
  4. Step 4: Simplify right side
    36,348.75x = 5,931,002,169
  5. Step 5: Solve for x
    x = 5,931,002,169/36,348.75
  6. Step 6: Final answer
    x = 163,169.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.