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Finding the Third Proportional to 13,269.66 and 19,357.17

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Solution

The third proportional to 13,269.66 and 19,357.17 is: 28,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.66 : 19,357.17 = 19,357.17 : x
  2. Step 2: Convert to fraction form
    13,269.66/19,357.17 = 19,357.17/x
  3. Step 3: Cross multiply
    13,269.66x = 19,357.17 × 19,357.17
  4. Step 4: Simplify right side
    13,269.66x = 374,700,103.00
  5. Step 5: Solve for x
    x = 374,700,103.00/13,269.66
  6. Step 6: Final answer
    x = 28,237.36

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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.