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Finding the Third Proportional to 2,403.42 and 4,167.07

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Solution

The third proportional to 2,403.42 and 4,167.07 is: 7,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.42 : 4,167.07 = 4,167.07 : x
  2. Step 2: Convert to fraction form
    2,403.42/4,167.07 = 4,167.07/x
  3. Step 3: Cross multiply
    2,403.42x = 4,167.07 × 4,167.07
  4. Step 4: Simplify right side
    2,403.42x = 17,364,474.99
  5. Step 5: Solve for x
    x = 17,364,474.99/2,403.42
  6. Step 6: Final answer
    x = 7,224.90

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.