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Finding the Third Proportional to 11,639.08 and 18,442.49

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Solution

The third proportional to 11,639.08 and 18,442.49 is: 29,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.08 : 18,442.49 = 18,442.49 : x
  2. Step 2: Convert to fraction form
    11,639.08/18,442.49 = 18,442.49/x
  3. Step 3: Cross multiply
    11,639.08x = 18,442.49 × 18,442.49
  4. Step 4: Simplify right side
    11,639.08x = 340,125,428.03
  5. Step 5: Solve for x
    x = 340,125,428.03/11,639.08
  6. Step 6: Final answer
    x = 29,222.70

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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.