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Finding the Third Proportional to 3,421.14 and 5,146.89

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Solution

The third proportional to 3,421.14 and 5,146.89 is: 7,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.14 : 5,146.89 = 5,146.89 : x
  2. Step 2: Convert to fraction form
    3,421.14/5,146.89 = 5,146.89/x
  3. Step 3: Cross multiply
    3,421.14x = 5,146.89 × 5,146.89
  4. Step 4: Simplify right side
    3,421.14x = 26,490,503.21
  5. Step 5: Solve for x
    x = 26,490,503.21/3,421.14
  6. Step 6: Final answer
    x = 7,743.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.