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Finding the Third Proportional to 28,676 and 61,747

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Solution

The third proportional to 28,676 and 61,747 is: 132,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,676 : 61,747 = 61,747 : x
  2. Step 2: Convert to fraction form
    28,676/61,747 = 61,747/x
  3. Step 3: Cross multiply
    28,676x = 61,747 × 61,747
  4. Step 4: Simplify right side
    28,676x = 3,812,692,009
  5. Step 5: Solve for x
    x = 3,812,692,009/28,676
  6. Step 6: Final answer
    x = 132,957.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.