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Finding the Third Proportional to 1,706.48 and 3,682.13

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Solution

The third proportional to 1,706.48 and 3,682.13 is: 7,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.48 : 3,682.13 = 3,682.13 : x
  2. Step 2: Convert to fraction form
    1,706.48/3,682.13 = 3,682.13/x
  3. Step 3: Cross multiply
    1,706.48x = 3,682.13 × 3,682.13
  4. Step 4: Simplify right side
    1,706.48x = 13,558,044.52
  5. Step 5: Solve for x
    x = 13,558,044.52/1,706.48
  6. Step 6: Final answer
    x = 7,945.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.