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Finding the Third Proportional to 33,342 and 78,707

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Solution

The third proportional to 33,342 and 78,707 is: 185,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,342 : 78,707 = 78,707 : x
  2. Step 2: Convert to fraction form
    33,342/78,707 = 78,707/x
  3. Step 3: Cross multiply
    33,342x = 78,707 × 78,707
  4. Step 4: Simplify right side
    33,342x = 6,194,791,849
  5. Step 5: Solve for x
    x = 6,194,791,849/33,342
  6. Step 6: Final answer
    x = 185,795.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.