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Finding the Third Proportional to 6,911.16 and 14,808.66

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Solution

The third proportional to 6,911.16 and 14,808.66 is: 31,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.16 : 14,808.66 = 14,808.66 : x
  2. Step 2: Convert to fraction form
    6,911.16/14,808.66 = 14,808.66/x
  3. Step 3: Cross multiply
    6,911.16x = 14,808.66 × 14,808.66
  4. Step 4: Simplify right side
    6,911.16x = 219,296,299.93
  5. Step 5: Solve for x
    x = 219,296,299.93/6,911.16
  6. Step 6: Final answer
    x = 31,730.77

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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.