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Finding the Third Proportional to 6,904.41 and 14,709.94

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Solution

The third proportional to 6,904.41 and 14,709.94 is: 31,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.41 : 14,709.94 = 14,709.94 : x
  2. Step 2: Convert to fraction form
    6,904.41/14,709.94 = 14,709.94/x
  3. Step 3: Cross multiply
    6,904.41x = 14,709.94 × 14,709.94
  4. Step 4: Simplify right side
    6,904.41x = 216,382,261.25
  5. Step 5: Solve for x
    x = 216,382,261.25/6,904.41
  6. Step 6: Final answer
    x = 31,339.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.