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Finding the Third Proportional to 2,403.42 and 2,727.42

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Solution

The third proportional to 2,403.42 and 2,727.42 is: 3,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.42 : 2,727.42 = 2,727.42 : x
  2. Step 2: Convert to fraction form
    2,403.42/2,727.42 = 2,727.42/x
  3. Step 3: Cross multiply
    2,403.42x = 2,727.42 × 2,727.42
  4. Step 4: Simplify right side
    2,403.42x = 7,438,830.08
  5. Step 5: Solve for x
    x = 7,438,830.08/2,403.42
  6. Step 6: Final answer
    x = 3,095.10

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.