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Finding the Third Proportional to 3,992.79 and 6,155.77

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Solution

The third proportional to 3,992.79 and 6,155.77 is: 9,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.79 : 6,155.77 = 6,155.77 : x
  2. Step 2: Convert to fraction form
    3,992.79/6,155.77 = 6,155.77/x
  3. Step 3: Cross multiply
    3,992.79x = 6,155.77 × 6,155.77
  4. Step 4: Simplify right side
    3,992.79x = 37,893,536.09
  5. Step 5: Solve for x
    x = 37,893,536.09/3,992.79
  6. Step 6: Final answer
    x = 9,490.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.