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Finding the Third Proportional to 13,383.56 and 29,006.44

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Solution

The third proportional to 13,383.56 and 29,006.44 is: 62,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.56 : 29,006.44 = 29,006.44 : x
  2. Step 2: Convert to fraction form
    13,383.56/29,006.44 = 29,006.44/x
  3. Step 3: Cross multiply
    13,383.56x = 29,006.44 × 29,006.44
  4. Step 4: Simplify right side
    13,383.56x = 841,373,416.44
  5. Step 5: Solve for x
    x = 841,373,416.44/13,383.56
  6. Step 6: Final answer
    x = 62,866.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.