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Finding the Third Proportional to 2,283 and 4,711

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Solution

The third proportional to 2,283 and 4,711 is: 9,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283 : 4,711 = 4,711 : x
  2. Step 2: Convert to fraction form
    2,283/4,711 = 4,711/x
  3. Step 3: Cross multiply
    2,283x = 4,711 × 4,711
  4. Step 4: Simplify right side
    2,283x = 22,193,521
  5. Step 5: Solve for x
    x = 22,193,521/2,283
  6. Step 6: Final answer
    x = 9,721.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.