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Finding the Third Proportional to 11,642.63 and 18,443.67

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Solution

The third proportional to 11,642.63 and 18,443.67 is: 29,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.63 : 18,443.67 = 18,443.67 : x
  2. Step 2: Convert to fraction form
    11,642.63/18,443.67 = 18,443.67/x
  3. Step 3: Cross multiply
    11,642.63x = 18,443.67 × 18,443.67
  4. Step 4: Simplify right side
    11,642.63x = 340,169,032.23
  5. Step 5: Solve for x
    x = 340,169,032.23/11,642.63
  6. Step 6: Final answer
    x = 29,217.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.