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Finding the Third Proportional to 4,670.25 and 7,734.38

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Solution

The third proportional to 4,670.25 and 7,734.38 is: 12,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.25 : 7,734.38 = 7,734.38 : x
  2. Step 2: Convert to fraction form
    4,670.25/7,734.38 = 7,734.38/x
  3. Step 3: Cross multiply
    4,670.25x = 7,734.38 × 7,734.38
  4. Step 4: Simplify right side
    4,670.25x = 59,820,556.64
  5. Step 5: Solve for x
    x = 59,820,556.64/4,670.25
  6. Step 6: Final answer
    x = 12,808.86

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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.