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Finding the Third Proportional to 1,409.16 and 2,002.97

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Solution

The third proportional to 1,409.16 and 2,002.97 is: 2,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.16 : 2,002.97 = 2,002.97 : x
  2. Step 2: Convert to fraction form
    1,409.16/2,002.97 = 2,002.97/x
  3. Step 3: Cross multiply
    1,409.16x = 2,002.97 × 2,002.97
  4. Step 4: Simplify right side
    1,409.16x = 4,011,883.81
  5. Step 5: Solve for x
    x = 4,011,883.81/1,409.16
  6. Step 6: Final answer
    x = 2,847.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.