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Finding the Third Proportional to 1,917.84 and 2,643.89

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Solution

The third proportional to 1,917.84 and 2,643.89 is: 3,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.84 : 2,643.89 = 2,643.89 : x
  2. Step 2: Convert to fraction form
    1,917.84/2,643.89 = 2,643.89/x
  3. Step 3: Cross multiply
    1,917.84x = 2,643.89 × 2,643.89
  4. Step 4: Simplify right side
    1,917.84x = 6,990,157.64
  5. Step 5: Solve for x
    x = 6,990,157.64/1,917.84
  6. Step 6: Final answer
    x = 3,644.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.