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Finding the Third Proportional to 1,575.94 and 2,617.41

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Solution

The third proportional to 1,575.94 and 2,617.41 is: 4,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.94 : 2,617.41 = 2,617.41 : x
  2. Step 2: Convert to fraction form
    1,575.94/2,617.41 = 2,617.41/x
  3. Step 3: Cross multiply
    1,575.94x = 2,617.41 × 2,617.41
  4. Step 4: Simplify right side
    1,575.94x = 6,850,815.48
  5. Step 5: Solve for x
    x = 6,850,815.48/1,575.94
  6. Step 6: Final answer
    x = 4,347.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.