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Finding the Third Proportional to 3,408 and 7,301.63

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Solution

The third proportional to 3,408 and 7,301.63 is: 15,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 7,301.63 = 7,301.63 : x
  2. Step 2: Convert to fraction form
    3,408/7,301.63 = 7,301.63/x
  3. Step 3: Cross multiply
    3,408x = 7,301.63 × 7,301.63
  4. Step 4: Simplify right side
    3,408x = 53,313,727.64
  5. Step 5: Solve for x
    x = 53,313,727.64/3,408
  6. Step 6: Final answer
    x = 15,643.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.