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Finding the Third Proportional to 11,165.25 and 19,015.88

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Solution

The third proportional to 11,165.25 and 19,015.88 is: 32,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.25 : 19,015.88 = 19,015.88 : x
  2. Step 2: Convert to fraction form
    11,165.25/19,015.88 = 19,015.88/x
  3. Step 3: Cross multiply
    11,165.25x = 19,015.88 × 19,015.88
  4. Step 4: Simplify right side
    11,165.25x = 361,603,502.02
  5. Step 5: Solve for x
    x = 361,603,502.02/11,165.25
  6. Step 6: Final answer
    x = 32,386.51

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.