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Finding the Third Proportional to 2,272.50 and 4,747

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Solution

The third proportional to 2,272.50 and 4,747 is: 9,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.50 : 4,747 = 4,747 : x
  2. Step 2: Convert to fraction form
    2,272.50/4,747 = 4,747/x
  3. Step 3: Cross multiply
    2,272.50x = 4,747 × 4,747
  4. Step 4: Simplify right side
    2,272.50x = 22,534,009
  5. Step 5: Solve for x
    x = 22,534,009/2,272.50
  6. Step 6: Final answer
    x = 9,915.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.