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Finding the Third Proportional to 1,713.94 and 3,658.78

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Solution

The third proportional to 1,713.94 and 3,658.78 is: 7,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.94 : 3,658.78 = 3,658.78 : x
  2. Step 2: Convert to fraction form
    1,713.94/3,658.78 = 3,658.78/x
  3. Step 3: Cross multiply
    1,713.94x = 3,658.78 × 3,658.78
  4. Step 4: Simplify right side
    1,713.94x = 13,386,680.24
  5. Step 5: Solve for x
    x = 13,386,680.24/1,713.94
  6. Step 6: Final answer
    x = 7,810.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.