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Finding the Third Proportional to 13,854.94 and 29,679.19

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Solution

The third proportional to 13,854.94 and 29,679.19 is: 63,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.94 : 29,679.19 = 29,679.19 : x
  2. Step 2: Convert to fraction form
    13,854.94/29,679.19 = 29,679.19/x
  3. Step 3: Cross multiply
    13,854.94x = 29,679.19 × 29,679.19
  4. Step 4: Simplify right side
    13,854.94x = 880,854,170.66
  5. Step 5: Solve for x
    x = 880,854,170.66/13,854.94
  6. Step 6: Final answer
    x = 63,576.91

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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.