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Finding the Third Proportional to 9,536.06 and 14,764.78

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Solution

The third proportional to 9,536.06 and 14,764.78 is: 22,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.06 : 14,764.78 = 14,764.78 : x
  2. Step 2: Convert to fraction form
    9,536.06/14,764.78 = 14,764.78/x
  3. Step 3: Cross multiply
    9,536.06x = 14,764.78 × 14,764.78
  4. Step 4: Simplify right side
    9,536.06x = 217,998,765.36
  5. Step 5: Solve for x
    x = 217,998,765.36/9,536.06
  6. Step 6: Final answer
    x = 22,860.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.