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Finding the Third Proportional to 1,704.16 and 2,707.17

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Solution

The third proportional to 1,704.16 and 2,707.17 is: 4,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.16 : 2,707.17 = 2,707.17 : x
  2. Step 2: Convert to fraction form
    1,704.16/2,707.17 = 2,707.17/x
  3. Step 3: Cross multiply
    1,704.16x = 2,707.17 × 2,707.17
  4. Step 4: Simplify right side
    1,704.16x = 7,328,779.56
  5. Step 5: Solve for x
    x = 7,328,779.56/1,704.16
  6. Step 6: Final answer
    x = 4,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.