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Finding the Third Proportional to 6,491.39 and 9,737.72

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Solution

The third proportional to 6,491.39 and 9,737.72 is: 14,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.39 : 9,737.72 = 9,737.72 : x
  2. Step 2: Convert to fraction form
    6,491.39/9,737.72 = 9,737.72/x
  3. Step 3: Cross multiply
    6,491.39x = 9,737.72 × 9,737.72
  4. Step 4: Simplify right side
    6,491.39x = 94,823,166.45
  5. Step 5: Solve for x
    x = 94,823,166.45/6,491.39
  6. Step 6: Final answer
    x = 14,607.53

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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.