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Finding the Third Proportional to 3,011.63 and 4,232.81

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Solution

The third proportional to 3,011.63 and 4,232.81 is: 5,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.63 : 4,232.81 = 4,232.81 : x
  2. Step 2: Convert to fraction form
    3,011.63/4,232.81 = 4,232.81/x
  3. Step 3: Cross multiply
    3,011.63x = 4,232.81 × 4,232.81
  4. Step 4: Simplify right side
    3,011.63x = 17,916,701.66
  5. Step 5: Solve for x
    x = 17,916,701.66/3,011.63
  6. Step 6: Final answer
    x = 5,949.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.