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Finding the Third Proportional to 13,202.63 and 29,357

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Solution

The third proportional to 13,202.63 and 29,357 is: 65,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.63 : 29,357 = 29,357 : x
  2. Step 2: Convert to fraction form
    13,202.63/29,357 = 29,357/x
  3. Step 3: Cross multiply
    13,202.63x = 29,357 × 29,357
  4. Step 4: Simplify right side
    13,202.63x = 861,833,449
  5. Step 5: Solve for x
    x = 861,833,449/13,202.63
  6. Step 6: Final answer
    x = 65,277.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.