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Finding the Third Proportional to 1,713.66 and 3,700.69

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Solution

The third proportional to 1,713.66 and 3,700.69 is: 7,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.66 : 3,700.69 = 3,700.69 : x
  2. Step 2: Convert to fraction form
    1,713.66/3,700.69 = 3,700.69/x
  3. Step 3: Cross multiply
    1,713.66x = 3,700.69 × 3,700.69
  4. Step 4: Simplify right side
    1,713.66x = 13,695,087.97
  5. Step 5: Solve for x
    x = 13,695,087.97/1,713.66
  6. Step 6: Final answer
    x = 7,991.74

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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.