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Finding the Third Proportional to 4,552 and 5,924

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Solution

The third proportional to 4,552 and 5,924 is: 7,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552 : 5,924 = 5,924 : x
  2. Step 2: Convert to fraction form
    4,552/5,924 = 5,924/x
  3. Step 3: Cross multiply
    4,552x = 5,924 × 5,924
  4. Step 4: Simplify right side
    4,552x = 35,093,776
  5. Step 5: Solve for x
    x = 35,093,776/4,552
  6. Step 6: Final answer
    x = 7,709.53

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.