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Finding the Third Proportional to 1,442.81 and 3,014.72

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Solution

The third proportional to 1,442.81 and 3,014.72 is: 6,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.81 : 3,014.72 = 3,014.72 : x
  2. Step 2: Convert to fraction form
    1,442.81/3,014.72 = 3,014.72/x
  3. Step 3: Cross multiply
    1,442.81x = 3,014.72 × 3,014.72
  4. Step 4: Simplify right side
    1,442.81x = 9,088,529.14
  5. Step 5: Solve for x
    x = 9,088,529.14/1,442.81
  6. Step 6: Final answer
    x = 6,299.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.