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Finding the Third Proportional to 7,859.53 and 16,843.78

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Solution

The third proportional to 7,859.53 and 16,843.78 is: 36,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.53 : 16,843.78 = 16,843.78 : x
  2. Step 2: Convert to fraction form
    7,859.53/16,843.78 = 16,843.78/x
  3. Step 3: Cross multiply
    7,859.53x = 16,843.78 × 16,843.78
  4. Step 4: Simplify right side
    7,859.53x = 283,712,966.80
  5. Step 5: Solve for x
    x = 283,712,966.80/7,859.53
  6. Step 6: Final answer
    x = 36,097.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.