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Finding the Third Proportional to 27,935 and 60,784

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Solution

The third proportional to 27,935 and 60,784 is: 132,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,935 : 60,784 = 60,784 : x
  2. Step 2: Convert to fraction form
    27,935/60,784 = 60,784/x
  3. Step 3: Cross multiply
    27,935x = 60,784 × 60,784
  4. Step 4: Simplify right side
    27,935x = 3,694,694,656
  5. Step 5: Solve for x
    x = 3,694,694,656/27,935
  6. Step 6: Final answer
    x = 132,260.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.