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Finding the Third Proportional to 43,680 and 65,451.50

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Solution

The third proportional to 43,680 and 65,451.50 is: 98,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,680 : 65,451.50 = 65,451.50 : x
  2. Step 2: Convert to fraction form
    43,680/65,451.50 = 65,451.50/x
  3. Step 3: Cross multiply
    43,680x = 65,451.50 × 65,451.50
  4. Step 4: Simplify right side
    43,680x = 4,283,898,852.25
  5. Step 5: Solve for x
    x = 4,283,898,852.25/43,680
  6. Step 6: Final answer
    x = 98,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.