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Finding the Third Proportional to 6,443.30 and 15,054.61

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Solution

The third proportional to 6,443.30 and 15,054.61 is: 35,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.30 : 15,054.61 = 15,054.61 : x
  2. Step 2: Convert to fraction form
    6,443.30/15,054.61 = 15,054.61/x
  3. Step 3: Cross multiply
    6,443.30x = 15,054.61 × 15,054.61
  4. Step 4: Simplify right side
    6,443.30x = 226,641,263.43
  5. Step 5: Solve for x
    x = 226,641,263.43/6,443.30
  6. Step 6: Final answer
    x = 35,174.74

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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.