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Finding the Third Proportional to 43,267.78 and 65,713.92

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Solution

The third proportional to 43,267.78 and 65,713.92 is: 99,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,267.78 : 65,713.92 = 65,713.92 : x
  2. Step 2: Convert to fraction form
    43,267.78/65,713.92 = 65,713.92/x
  3. Step 3: Cross multiply
    43,267.78x = 65,713.92 × 65,713.92
  4. Step 4: Simplify right side
    43,267.78x = 4,318,319,528.19
  5. Step 5: Solve for x
    x = 4,318,319,528.19/43,267.78
  6. Step 6: Final answer
    x = 99,804.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.