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Finding the Third Proportional to 14,006.25 and 21,785.63

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Solution

The third proportional to 14,006.25 and 21,785.63 is: 33,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.25 : 21,785.63 = 21,785.63 : x
  2. Step 2: Convert to fraction form
    14,006.25/21,785.63 = 21,785.63/x
  3. Step 3: Cross multiply
    14,006.25x = 21,785.63 × 21,785.63
  4. Step 4: Simplify right side
    14,006.25x = 474,613,456.64
  5. Step 5: Solve for x
    x = 474,613,456.64/14,006.25
  6. Step 6: Final answer
    x = 33,885.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.