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Finding the Third Proportional to 13,200.47 and 20,262.66

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Solution

The third proportional to 13,200.47 and 20,262.66 is: 31,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.47 : 20,262.66 = 20,262.66 : x
  2. Step 2: Convert to fraction form
    13,200.47/20,262.66 = 20,262.66/x
  3. Step 3: Cross multiply
    13,200.47x = 20,262.66 × 20,262.66
  4. Step 4: Simplify right side
    13,200.47x = 410,575,238.31
  5. Step 5: Solve for x
    x = 410,575,238.31/13,200.47
  6. Step 6: Final answer
    x = 31,103.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.