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Finding the Third Proportional to 4,781.25 and 6,883.88

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Solution

The third proportional to 4,781.25 and 6,883.88 is: 9,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.25 : 6,883.88 = 6,883.88 : x
  2. Step 2: Convert to fraction form
    4,781.25/6,883.88 = 6,883.88/x
  3. Step 3: Cross multiply
    4,781.25x = 6,883.88 × 6,883.88
  4. Step 4: Simplify right side
    4,781.25x = 47,387,735.02
  5. Step 5: Solve for x
    x = 47,387,735.02/4,781.25
  6. Step 6: Final answer
    x = 9,911.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.