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Finding the Third Proportional to 767.67 and 1,656.56

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Solution

The third proportional to 767.67 and 1,656.56 is: 3,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.67 : 1,656.56 = 1,656.56 : x
  2. Step 2: Convert to fraction form
    767.67/1,656.56 = 1,656.56/x
  3. Step 3: Cross multiply
    767.67x = 1,656.56 × 1,656.56
  4. Step 4: Simplify right side
    767.67x = 2,744,199.32
  5. Step 5: Solve for x
    x = 2,744,199.32/767.67
  6. Step 6: Final answer
    x = 3,574.70

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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.