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Finding the Third Proportional to 27,817.88 and 65,631.38

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Solution

The third proportional to 27,817.88 and 65,631.38 is: 154,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.88 : 65,631.38 = 65,631.38 : x
  2. Step 2: Convert to fraction form
    27,817.88/65,631.38 = 65,631.38/x
  3. Step 3: Cross multiply
    27,817.88x = 65,631.38 × 65,631.38
  4. Step 4: Simplify right side
    27,817.88x = 4,307,477,384.39
  5. Step 5: Solve for x
    x = 4,307,477,384.39/27,817.88
  6. Step 6: Final answer
    x = 154,845.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.