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Finding the Third Proportional to 13,054.50 and 19,023.38

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Solution

The third proportional to 13,054.50 and 19,023.38 is: 27,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.50 : 19,023.38 = 19,023.38 : x
  2. Step 2: Convert to fraction form
    13,054.50/19,023.38 = 19,023.38/x
  3. Step 3: Cross multiply
    13,054.50x = 19,023.38 × 19,023.38
  4. Step 4: Simplify right side
    13,054.50x = 361,888,796.39
  5. Step 5: Solve for x
    x = 361,888,796.39/13,054.50
  6. Step 6: Final answer
    x = 27,721.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.