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Finding the Third Proportional to 36,632.25 and 48,387.38

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Solution

The third proportional to 36,632.25 and 48,387.38 is: 63,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,632.25 : 48,387.38 = 48,387.38 : x
  2. Step 2: Convert to fraction form
    36,632.25/48,387.38 = 48,387.38/x
  3. Step 3: Cross multiply
    36,632.25x = 48,387.38 × 48,387.38
  4. Step 4: Simplify right side
    36,632.25x = 2,341,338,059.39
  5. Step 5: Solve for x
    x = 2,341,338,059.39/36,632.25
  6. Step 6: Final answer
    x = 63,914.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.