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Finding the Third Proportional to 1,983 and 4,557

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Solution

The third proportional to 1,983 and 4,557 is: 10,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983 : 4,557 = 4,557 : x
  2. Step 2: Convert to fraction form
    1,983/4,557 = 4,557/x
  3. Step 3: Cross multiply
    1,983x = 4,557 × 4,557
  4. Step 4: Simplify right side
    1,983x = 20,766,249
  5. Step 5: Solve for x
    x = 20,766,249/1,983
  6. Step 6: Final answer
    x = 10,472.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.