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Finding the Third Proportional to 936.05 and 1,468.27

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Solution

The third proportional to 936.05 and 1,468.27 is: 2,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.05 : 1,468.27 = 1,468.27 : x
  2. Step 2: Convert to fraction form
    936.05/1,468.27 = 1,468.27/x
  3. Step 3: Cross multiply
    936.05x = 1,468.27 × 1,468.27
  4. Step 4: Simplify right side
    936.05x = 2,155,803.95
  5. Step 5: Solve for x
    x = 2,155,803.95/936.05
  6. Step 6: Final answer
    x = 2,303.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.