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Finding the Third Proportional to 38,176 and 60,784

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Solution

The third proportional to 38,176 and 60,784 is: 96,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176 : 60,784 = 60,784 : x
  2. Step 2: Convert to fraction form
    38,176/60,784 = 60,784/x
  3. Step 3: Cross multiply
    38,176x = 60,784 × 60,784
  4. Step 4: Simplify right side
    38,176x = 3,694,694,656
  5. Step 5: Solve for x
    x = 3,694,694,656/38,176
  6. Step 6: Final answer
    x = 96,780.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.