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Finding the Third Proportional to 7,697.44 and 16,545.94

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Solution

The third proportional to 7,697.44 and 16,545.94 is: 35,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.44 : 16,545.94 = 16,545.94 : x
  2. Step 2: Convert to fraction form
    7,697.44/16,545.94 = 16,545.94/x
  3. Step 3: Cross multiply
    7,697.44x = 16,545.94 × 16,545.94
  4. Step 4: Simplify right side
    7,697.44x = 273,768,047.75
  5. Step 5: Solve for x
    x = 273,768,047.75/7,697.44
  6. Step 6: Final answer
    x = 35,566.13

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Why These Related Problems?

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