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Finding the Third Proportional to 2,282.06 and 4,737.52

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Solution

The third proportional to 2,282.06 and 4,737.52 is: 9,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.06 : 4,737.52 = 4,737.52 : x
  2. Step 2: Convert to fraction form
    2,282.06/4,737.52 = 4,737.52/x
  3. Step 3: Cross multiply
    2,282.06x = 4,737.52 × 4,737.52
  4. Step 4: Simplify right side
    2,282.06x = 22,444,054.30
  5. Step 5: Solve for x
    x = 22,444,054.30/2,282.06
  6. Step 6: Final answer
    x = 9,834.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.