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Finding the Third Proportional to 14,016 and 29,886

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Solution

The third proportional to 14,016 and 29,886 is: 63,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 29,886 = 29,886 : x
  2. Step 2: Convert to fraction form
    14,016/29,886 = 29,886/x
  3. Step 3: Cross multiply
    14,016x = 29,886 × 29,886
  4. Step 4: Simplify right side
    14,016x = 893,172,996
  5. Step 5: Solve for x
    x = 893,172,996/14,016
  6. Step 6: Final answer
    x = 63,725.24

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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.