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Finding the Third Proportional to 43,344.35 and 68,011.64

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Solution

The third proportional to 43,344.35 and 68,011.64 is: 106,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,344.35 : 68,011.64 = 68,011.64 : x
  2. Step 2: Convert to fraction form
    43,344.35/68,011.64 = 68,011.64/x
  3. Step 3: Cross multiply
    43,344.35x = 68,011.64 × 68,011.64
  4. Step 4: Simplify right side
    43,344.35x = 4,625,583,459.76
  5. Step 5: Solve for x
    x = 4,625,583,459.76/43,344.35
  6. Step 6: Final answer
    x = 106,717.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.