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Finding the Third Proportional to 19,288.13 and 29,028.38

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Solution

The third proportional to 19,288.13 and 29,028.38 is: 43,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,288.13 : 29,028.38 = 29,028.38 : x
  2. Step 2: Convert to fraction form
    19,288.13/29,028.38 = 29,028.38/x
  3. Step 3: Cross multiply
    19,288.13x = 29,028.38 × 29,028.38
  4. Step 4: Simplify right side
    19,288.13x = 842,646,555.14
  5. Step 5: Solve for x
    x = 842,646,555.14/19,288.13
  6. Step 6: Final answer
    x = 43,687.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.