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Finding the Third Proportional to 40,356 and 60,678

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Solution

The third proportional to 40,356 and 60,678 is: 91,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,356 : 60,678 = 60,678 : x
  2. Step 2: Convert to fraction form
    40,356/60,678 = 60,678/x
  3. Step 3: Cross multiply
    40,356x = 60,678 × 60,678
  4. Step 4: Simplify right side
    40,356x = 3,681,819,684
  5. Step 5: Solve for x
    x = 3,681,819,684/40,356
  6. Step 6: Final answer
    x = 91,233.51

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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.