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Finding the Third Proportional to 1,718.75 and 2,741.75

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Solution

The third proportional to 1,718.75 and 2,741.75 is: 4,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.75 : 2,741.75 = 2,741.75 : x
  2. Step 2: Convert to fraction form
    1,718.75/2,741.75 = 2,741.75/x
  3. Step 3: Cross multiply
    1,718.75x = 2,741.75 × 2,741.75
  4. Step 4: Simplify right side
    1,718.75x = 7,517,193.06
  5. Step 5: Solve for x
    x = 7,517,193.06/1,718.75
  6. Step 6: Final answer
    x = 4,373.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.