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Finding the Third Proportional to 4,557 and 5,983

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Solution

The third proportional to 4,557 and 5,983 is: 7,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 5,983 = 5,983 : x
  2. Step 2: Convert to fraction form
    4,557/5,983 = 5,983/x
  3. Step 3: Cross multiply
    4,557x = 5,983 × 5,983
  4. Step 4: Simplify right side
    4,557x = 35,796,289
  5. Step 5: Solve for x
    x = 35,796,289/4,557
  6. Step 6: Final answer
    x = 7,855.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.