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Finding the Third Proportional to 36,516 and 79,729.50

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Solution

The third proportional to 36,516 and 79,729.50 is: 174,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,516 : 79,729.50 = 79,729.50 : x
  2. Step 2: Convert to fraction form
    36,516/79,729.50 = 79,729.50/x
  3. Step 3: Cross multiply
    36,516x = 79,729.50 × 79,729.50
  4. Step 4: Simplify right side
    36,516x = 6,356,793,170.25
  5. Step 5: Solve for x
    x = 6,356,793,170.25/36,516
  6. Step 6: Final answer
    x = 174,082.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.