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Finding the Third Proportional to 1,462.08 and 3,197.53

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Solution

The third proportional to 1,462.08 and 3,197.53 is: 6,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.08 : 3,197.53 = 3,197.53 : x
  2. Step 2: Convert to fraction form
    1,462.08/3,197.53 = 3,197.53/x
  3. Step 3: Cross multiply
    1,462.08x = 3,197.53 × 3,197.53
  4. Step 4: Simplify right side
    1,462.08x = 10,224,206.09
  5. Step 5: Solve for x
    x = 10,224,206.09/1,462.08
  6. Step 6: Final answer
    x = 6,992.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.