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Finding the Third Proportional to 9,545.34 and 12,601.83

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Solution

The third proportional to 9,545.34 and 12,601.83 is: 16,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.34 : 12,601.83 = 12,601.83 : x
  2. Step 2: Convert to fraction form
    9,545.34/12,601.83 = 12,601.83/x
  3. Step 3: Cross multiply
    9,545.34x = 12,601.83 × 12,601.83
  4. Step 4: Simplify right side
    9,545.34x = 158,806,072.09
  5. Step 5: Solve for x
    x = 158,806,072.09/9,545.34
  6. Step 6: Final answer
    x = 16,637.02

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.