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Finding the Third Proportional to 3,927.63 and 5,918.68

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Solution

The third proportional to 3,927.63 and 5,918.68 is: 8,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.63 : 5,918.68 = 5,918.68 : x
  2. Step 2: Convert to fraction form
    3,927.63/5,918.68 = 5,918.68/x
  3. Step 3: Cross multiply
    3,927.63x = 5,918.68 × 5,918.68
  4. Step 4: Simplify right side
    3,927.63x = 35,030,720.11
  5. Step 5: Solve for x
    x = 35,030,720.11/3,927.63
  6. Step 6: Final answer
    x = 8,919.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.