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Finding the Third Proportional to 8,956.83 and 19,143.84

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Solution

The third proportional to 8,956.83 and 19,143.84 is: 40,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.83 : 19,143.84 = 19,143.84 : x
  2. Step 2: Convert to fraction form
    8,956.83/19,143.84 = 19,143.84/x
  3. Step 3: Cross multiply
    8,956.83x = 19,143.84 × 19,143.84
  4. Step 4: Simplify right side
    8,956.83x = 366,486,753.52
  5. Step 5: Solve for x
    x = 366,486,753.52/8,956.83
  6. Step 6: Final answer
    x = 40,917.02

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Why These Related Problems?

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