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Finding the Third Proportional to 773.67 and 1,670.65

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Solution

The third proportional to 773.67 and 1,670.65 is: 3,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.67 : 1,670.65 = 1,670.65 : x
  2. Step 2: Convert to fraction form
    773.67/1,670.65 = 1,670.65/x
  3. Step 3: Cross multiply
    773.67x = 1,670.65 × 1,670.65
  4. Step 4: Simplify right side
    773.67x = 2,791,075.99
  5. Step 5: Solve for x
    x = 2,791,075.99/773.67
  6. Step 6: Final answer
    x = 3,607.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.