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Finding the Third Proportional to 43,564 and 67,578

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Solution

The third proportional to 43,564 and 67,578 is: 104,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564 : 67,578 = 67,578 : x
  2. Step 2: Convert to fraction form
    43,564/67,578 = 67,578/x
  3. Step 3: Cross multiply
    43,564x = 67,578 × 67,578
  4. Step 4: Simplify right side
    43,564x = 4,566,786,084
  5. Step 5: Solve for x
    x = 4,566,786,084/43,564
  6. Step 6: Final answer
    x = 104,829.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.