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Finding the Third Proportional to 1,734.94 and 3,717.75

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Solution

The third proportional to 1,734.94 and 3,717.75 is: 7,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.94 : 3,717.75 = 3,717.75 : x
  2. Step 2: Convert to fraction form
    1,734.94/3,717.75 = 3,717.75/x
  3. Step 3: Cross multiply
    1,734.94x = 3,717.75 × 3,717.75
  4. Step 4: Simplify right side
    1,734.94x = 13,821,665.06
  5. Step 5: Solve for x
    x = 13,821,665.06/1,734.94
  6. Step 6: Final answer
    x = 7,966.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.