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Finding the Third Proportional to 4,437 and 6,655

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Solution

The third proportional to 4,437 and 6,655 is: 9,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437 : 6,655 = 6,655 : x
  2. Step 2: Convert to fraction form
    4,437/6,655 = 6,655/x
  3. Step 3: Cross multiply
    4,437x = 6,655 × 6,655
  4. Step 4: Simplify right side
    4,437x = 44,289,025
  5. Step 5: Solve for x
    x = 44,289,025/4,437
  6. Step 6: Final answer
    x = 9,981.75

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