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Finding the Third Proportional to 3,462.75 and 7,357.08

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Solution

The third proportional to 3,462.75 and 7,357.08 is: 15,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.75 : 7,357.08 = 7,357.08 : x
  2. Step 2: Convert to fraction form
    3,462.75/7,357.08 = 7,357.08/x
  3. Step 3: Cross multiply
    3,462.75x = 7,357.08 × 7,357.08
  4. Step 4: Simplify right side
    3,462.75x = 54,126,598.54
  5. Step 5: Solve for x
    x = 54,126,598.54/3,462.75
  6. Step 6: Final answer
    x = 15,631.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.