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Finding the Third Proportional to 38,965 and 82,784

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Solution

The third proportional to 38,965 and 82,784 is: 175,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965 : 82,784 = 82,784 : x
  2. Step 2: Convert to fraction form
    38,965/82,784 = 82,784/x
  3. Step 3: Cross multiply
    38,965x = 82,784 × 82,784
  4. Step 4: Simplify right side
    38,965x = 6,853,190,656
  5. Step 5: Solve for x
    x = 6,853,190,656/38,965
  6. Step 6: Final answer
    x = 175,880.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.