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Finding the Third Proportional to 1,421.93 and 2,326.54

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Solution

The third proportional to 1,421.93 and 2,326.54 is: 3,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.93 : 2,326.54 = 2,326.54 : x
  2. Step 2: Convert to fraction form
    1,421.93/2,326.54 = 2,326.54/x
  3. Step 3: Cross multiply
    1,421.93x = 2,326.54 × 2,326.54
  4. Step 4: Simplify right side
    1,421.93x = 5,412,765.83
  5. Step 5: Solve for x
    x = 5,412,765.83/1,421.93
  6. Step 6: Final answer
    x = 3,806.63

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.