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Finding the Third Proportional to 36,534 and 78,616.50

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Solution

The third proportional to 36,534 and 78,616.50 is: 169,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534 : 78,616.50 = 78,616.50 : x
  2. Step 2: Convert to fraction form
    36,534/78,616.50 = 78,616.50/x
  3. Step 3: Cross multiply
    36,534x = 78,616.50 × 78,616.50
  4. Step 4: Simplify right side
    36,534x = 6,180,554,072.25
  5. Step 5: Solve for x
    x = 6,180,554,072.25/36,534
  6. Step 6: Final answer
    x = 169,172.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.