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Finding the Third Proportional to 4,055.75 and 5,924

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Solution

The third proportional to 4,055.75 and 5,924 is: 8,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.75 : 5,924 = 5,924 : x
  2. Step 2: Convert to fraction form
    4,055.75/5,924 = 5,924/x
  3. Step 3: Cross multiply
    4,055.75x = 5,924 × 5,924
  4. Step 4: Simplify right side
    4,055.75x = 35,093,776
  5. Step 5: Solve for x
    x = 35,093,776/4,055.75
  6. Step 6: Final answer
    x = 8,652.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.