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Finding the Third Proportional to 36,404 and 48,920.50

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Solution

The third proportional to 36,404 and 48,920.50 is: 65,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,404 : 48,920.50 = 48,920.50 : x
  2. Step 2: Convert to fraction form
    36,404/48,920.50 = 48,920.50/x
  3. Step 3: Cross multiply
    36,404x = 48,920.50 × 48,920.50
  4. Step 4: Simplify right side
    36,404x = 2,393,215,320.25
  5. Step 5: Solve for x
    x = 2,393,215,320.25/36,404
  6. Step 6: Final answer
    x = 65,740.45

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.