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Finding the Third Proportional to 3,228.83 and 4,987.23

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Solution

The third proportional to 3,228.83 and 4,987.23 is: 7,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.83 : 4,987.23 = 4,987.23 : x
  2. Step 2: Convert to fraction form
    3,228.83/4,987.23 = 4,987.23/x
  3. Step 3: Cross multiply
    3,228.83x = 4,987.23 × 4,987.23
  4. Step 4: Simplify right side
    3,228.83x = 24,872,486.93
  5. Step 5: Solve for x
    x = 24,872,486.93/3,228.83
  6. Step 6: Final answer
    x = 7,703.26

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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.