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Finding the Third Proportional to 3,402.84 and 5,133.09

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Solution

The third proportional to 3,402.84 and 5,133.09 is: 7,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 5,133.09 = 5,133.09 : x
  2. Step 2: Convert to fraction form
    3,402.84/5,133.09 = 5,133.09/x
  3. Step 3: Cross multiply
    3,402.84x = 5,133.09 × 5,133.09
  4. Step 4: Simplify right side
    3,402.84x = 26,348,651.45
  5. Step 5: Solve for x
    x = 26,348,651.45/3,402.84
  6. Step 6: Final answer
    x = 7,743.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.