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Finding the Third Proportional to 4,987.83 and 7,717.78

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Solution

The third proportional to 4,987.83 and 7,717.78 is: 11,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.83 : 7,717.78 = 7,717.78 : x
  2. Step 2: Convert to fraction form
    4,987.83/7,717.78 = 7,717.78/x
  3. Step 3: Cross multiply
    4,987.83x = 7,717.78 × 7,717.78
  4. Step 4: Simplify right side
    4,987.83x = 59,564,147.42
  5. Step 5: Solve for x
    x = 59,564,147.42/4,987.83
  6. Step 6: Final answer
    x = 11,941.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.