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Finding the Third Proportional to 1,706.91 and 4,006.13

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Solution

The third proportional to 1,706.91 and 4,006.13 is: 9,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.91 : 4,006.13 = 4,006.13 : x
  2. Step 2: Convert to fraction form
    1,706.91/4,006.13 = 4,006.13/x
  3. Step 3: Cross multiply
    1,706.91x = 4,006.13 × 4,006.13
  4. Step 4: Simplify right side
    1,706.91x = 16,049,037.52
  5. Step 5: Solve for x
    x = 16,049,037.52/1,706.91
  6. Step 6: Final answer
    x = 9,402.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.