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Finding the Third Proportional to 13,215.94 and 19,458.84

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Solution

The third proportional to 13,215.94 and 19,458.84 is: 28,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.94 : 19,458.84 = 19,458.84 : x
  2. Step 2: Convert to fraction form
    13,215.94/19,458.84 = 19,458.84/x
  3. Step 3: Cross multiply
    13,215.94x = 19,458.84 × 19,458.84
  4. Step 4: Simplify right side
    13,215.94x = 378,646,600.09
  5. Step 5: Solve for x
    x = 378,646,600.09/13,215.94
  6. Step 6: Final answer
    x = 28,650.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.