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Finding the Third Proportional to 19,546.31 and 29,456.16

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Solution

The third proportional to 19,546.31 and 29,456.16 is: 44,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.31 : 29,456.16 = 29,456.16 : x
  2. Step 2: Convert to fraction form
    19,546.31/29,456.16 = 29,456.16/x
  3. Step 3: Cross multiply
    19,546.31x = 29,456.16 × 29,456.16
  4. Step 4: Simplify right side
    19,546.31x = 867,665,141.02
  5. Step 5: Solve for x
    x = 867,665,141.02/19,546.31
  6. Step 6: Final answer
    x = 44,390.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.