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Finding the Third Proportional to 36,352.50 and 77,019

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Solution

The third proportional to 36,352.50 and 77,019 is: 163,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,352.50 : 77,019 = 77,019 : x
  2. Step 2: Convert to fraction form
    36,352.50/77,019 = 77,019/x
  3. Step 3: Cross multiply
    36,352.50x = 77,019 × 77,019
  4. Step 4: Simplify right side
    36,352.50x = 5,931,926,361
  5. Step 5: Solve for x
    x = 5,931,926,361/36,352.50
  6. Step 6: Final answer
    x = 163,177.95

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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.