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Finding the Third Proportional to 3,527.93 and 7,711.77

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Solution

The third proportional to 3,527.93 and 7,711.77 is: 16,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.93 : 7,711.77 = 7,711.77 : x
  2. Step 2: Convert to fraction form
    3,527.93/7,711.77 = 7,711.77/x
  3. Step 3: Cross multiply
    3,527.93x = 7,711.77 × 7,711.77
  4. Step 4: Simplify right side
    3,527.93x = 59,471,389.30
  5. Step 5: Solve for x
    x = 59,471,389.30/3,527.93
  6. Step 6: Final answer
    x = 16,857.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.