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Finding the Third Proportional to 4,575.56 and 9,956.06

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Solution

The third proportional to 4,575.56 and 9,956.06 is: 21,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.56 : 9,956.06 = 9,956.06 : x
  2. Step 2: Convert to fraction form
    4,575.56/9,956.06 = 9,956.06/x
  3. Step 3: Cross multiply
    4,575.56x = 9,956.06 × 9,956.06
  4. Step 4: Simplify right side
    4,575.56x = 99,123,180.50
  5. Step 5: Solve for x
    x = 99,123,180.50/4,575.56
  6. Step 6: Final answer
    x = 21,663.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.