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Finding the Third Proportional to 19,876.64 and 27,856.83

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Solution

The third proportional to 19,876.64 and 27,856.83 is: 39,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.64 : 27,856.83 = 27,856.83 : x
  2. Step 2: Convert to fraction form
    19,876.64/27,856.83 = 27,856.83/x
  3. Step 3: Cross multiply
    19,876.64x = 27,856.83 × 27,856.83
  4. Step 4: Simplify right side
    19,876.64x = 776,002,873.19
  5. Step 5: Solve for x
    x = 776,002,873.19/19,876.64
  6. Step 6: Final answer
    x = 39,040.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.