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Finding the Third Proportional to 1,665.07 and 2,486.18

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Solution

The third proportional to 1,665.07 and 2,486.18 is: 3,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.07 : 2,486.18 = 2,486.18 : x
  2. Step 2: Convert to fraction form
    1,665.07/2,486.18 = 2,486.18/x
  3. Step 3: Cross multiply
    1,665.07x = 2,486.18 × 2,486.18
  4. Step 4: Simplify right side
    1,665.07x = 6,181,089.44
  5. Step 5: Solve for x
    x = 6,181,089.44/1,665.07
  6. Step 6: Final answer
    x = 3,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.