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Finding the Third Proportional to 1,746.98 and 2,643.05

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Solution

The third proportional to 1,746.98 and 2,643.05 is: 3,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.98 : 2,643.05 = 2,643.05 : x
  2. Step 2: Convert to fraction form
    1,746.98/2,643.05 = 2,643.05/x
  3. Step 3: Cross multiply
    1,746.98x = 2,643.05 × 2,643.05
  4. Step 4: Simplify right side
    1,746.98x = 6,985,696.78
  5. Step 5: Solve for x
    x = 6,985,696.78/1,746.98
  6. Step 6: Final answer
    x = 3,998.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.