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Finding the Third Proportional to 19,826.91 and 42,920.81

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Solution

The third proportional to 19,826.91 and 42,920.81 is: 92,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.91 : 42,920.81 = 42,920.81 : x
  2. Step 2: Convert to fraction form
    19,826.91/42,920.81 = 42,920.81/x
  3. Step 3: Cross multiply
    19,826.91x = 42,920.81 × 42,920.81
  4. Step 4: Simplify right side
    19,826.91x = 1,842,196,145.66
  5. Step 5: Solve for x
    x = 1,842,196,145.66/19,826.91
  6. Step 6: Final answer
    x = 92,913.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.