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Finding the Third Proportional to 2,421.93 and 3,748.23

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Solution

The third proportional to 2,421.93 and 3,748.23 is: 5,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.93 : 3,748.23 = 3,748.23 : x
  2. Step 2: Convert to fraction form
    2,421.93/3,748.23 = 3,748.23/x
  3. Step 3: Cross multiply
    2,421.93x = 3,748.23 × 3,748.23
  4. Step 4: Simplify right side
    2,421.93x = 14,049,209.68
  5. Step 5: Solve for x
    x = 14,049,209.68/2,421.93
  6. Step 6: Final answer
    x = 5,800.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.