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Finding the Third Proportional to 11,577.94 and 27,071.72

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Solution

The third proportional to 11,577.94 and 27,071.72 is: 63,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.94 : 27,071.72 = 27,071.72 : x
  2. Step 2: Convert to fraction form
    11,577.94/27,071.72 = 27,071.72/x
  3. Step 3: Cross multiply
    11,577.94x = 27,071.72 × 27,071.72
  4. Step 4: Simplify right side
    11,577.94x = 732,877,956.08
  5. Step 5: Solve for x
    x = 732,877,956.08/11,577.94
  6. Step 6: Final answer
    x = 63,299.53

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.