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Finding the Third Proportional to 3,604.66 and 7,748.47

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Solution

The third proportional to 3,604.66 and 7,748.47 is: 16,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.66 : 7,748.47 = 7,748.47 : x
  2. Step 2: Convert to fraction form
    3,604.66/7,748.47 = 7,748.47/x
  3. Step 3: Cross multiply
    3,604.66x = 7,748.47 × 7,748.47
  4. Step 4: Simplify right side
    3,604.66x = 60,038,828.50
  5. Step 5: Solve for x
    x = 60,038,828.50/3,604.66
  6. Step 6: Final answer
    x = 16,655.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.