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Finding the Third Proportional to 1,707.33 and 3,516.54

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Solution

The third proportional to 1,707.33 and 3,516.54 is: 7,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.33 : 3,516.54 = 3,516.54 : x
  2. Step 2: Convert to fraction form
    1,707.33/3,516.54 = 3,516.54/x
  3. Step 3: Cross multiply
    1,707.33x = 3,516.54 × 3,516.54
  4. Step 4: Simplify right side
    1,707.33x = 12,366,046.98
  5. Step 5: Solve for x
    x = 12,366,046.98/1,707.33
  6. Step 6: Final answer
    x = 7,242.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.