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Finding the Third Proportional to 19,310.91 and 27,383.06

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Solution

The third proportional to 19,310.91 and 27,383.06 is: 38,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310.91 : 27,383.06 = 27,383.06 : x
  2. Step 2: Convert to fraction form
    19,310.91/27,383.06 = 27,383.06/x
  3. Step 3: Cross multiply
    19,310.91x = 27,383.06 × 27,383.06
  4. Step 4: Simplify right side
    19,310.91x = 749,832,111.88
  5. Step 5: Solve for x
    x = 749,832,111.88/19,310.91
  6. Step 6: Final answer
    x = 38,829.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.