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Finding the Third Proportional to 39,836 and 61,680

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Solution

The third proportional to 39,836 and 61,680 is: 95,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,836 : 61,680 = 61,680 : x
  2. Step 2: Convert to fraction form
    39,836/61,680 = 61,680/x
  3. Step 3: Cross multiply
    39,836x = 61,680 × 61,680
  4. Step 4: Simplify right side
    39,836x = 3,804,422,400
  5. Step 5: Solve for x
    x = 3,804,422,400/39,836
  6. Step 6: Final answer
    x = 95,502.12

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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.