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Finding the Third Proportional to 6,495.19 and 9,663.05

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Solution

The third proportional to 6,495.19 and 9,663.05 is: 14,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.19 : 9,663.05 = 9,663.05 : x
  2. Step 2: Convert to fraction form
    6,495.19/9,663.05 = 9,663.05/x
  3. Step 3: Cross multiply
    6,495.19x = 9,663.05 × 9,663.05
  4. Step 4: Simplify right side
    6,495.19x = 93,374,474.91
  5. Step 5: Solve for x
    x = 93,374,474.91/6,495.19
  6. Step 6: Final answer
    x = 14,375.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.