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Finding the Third Proportional to 43,816 and 65,650

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Solution

The third proportional to 43,816 and 65,650 is: 98,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,816 : 65,650 = 65,650 : x
  2. Step 2: Convert to fraction form
    43,816/65,650 = 65,650/x
  3. Step 3: Cross multiply
    43,816x = 65,650 × 65,650
  4. Step 4: Simplify right side
    43,816x = 4,309,922,500
  5. Step 5: Solve for x
    x = 4,309,922,500/43,816
  6. Step 6: Final answer
    x = 98,364.12

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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.