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Finding the Third Proportional to 7,791 and 16,674.88

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Solution

The third proportional to 7,791 and 16,674.88 is: 35,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791 : 16,674.88 = 16,674.88 : x
  2. Step 2: Convert to fraction form
    7,791/16,674.88 = 16,674.88/x
  3. Step 3: Cross multiply
    7,791x = 16,674.88 × 16,674.88
  4. Step 4: Simplify right side
    7,791x = 278,051,456.27
  5. Step 5: Solve for x
    x = 278,051,456.27/7,791
  6. Step 6: Final answer
    x = 35,688.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.