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Finding the Third Proportional to 1,718.09 and 3,743.72

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Solution

The third proportional to 1,718.09 and 3,743.72 is: 8,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.09 : 3,743.72 = 3,743.72 : x
  2. Step 2: Convert to fraction form
    1,718.09/3,743.72 = 3,743.72/x
  3. Step 3: Cross multiply
    1,718.09x = 3,743.72 × 3,743.72
  4. Step 4: Simplify right side
    1,718.09x = 14,015,430.08
  5. Step 5: Solve for x
    x = 14,015,430.08/1,718.09
  6. Step 6: Final answer
    x = 8,157.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.