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Finding the Third Proportional to 3,924.07 and 5,886.11

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Solution

The third proportional to 3,924.07 and 5,886.11 is: 8,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.07 : 5,886.11 = 5,886.11 : x
  2. Step 2: Convert to fraction form
    3,924.07/5,886.11 = 5,886.11/x
  3. Step 3: Cross multiply
    3,924.07x = 5,886.11 × 5,886.11
  4. Step 4: Simplify right side
    3,924.07x = 34,646,237.59
  5. Step 5: Solve for x
    x = 34,646,237.59/3,924.07
  6. Step 6: Final answer
    x = 8,829.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.