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Finding the Third Proportional to 6,046.31 and 13,285.69

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Solution

The third proportional to 6,046.31 and 13,285.69 is: 29,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.31 : 13,285.69 = 13,285.69 : x
  2. Step 2: Convert to fraction form
    6,046.31/13,285.69 = 13,285.69/x
  3. Step 3: Cross multiply
    6,046.31x = 13,285.69 × 13,285.69
  4. Step 4: Simplify right side
    6,046.31x = 176,509,492.35
  5. Step 5: Solve for x
    x = 176,509,492.35/6,046.31
  6. Step 6: Final answer
    x = 29,192.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.