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Finding the Third Proportional to 13,876.31 and 29,833.31

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Solution

The third proportional to 13,876.31 and 29,833.31 is: 64,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.31 : 29,833.31 = 29,833.31 : x
  2. Step 2: Convert to fraction form
    13,876.31/29,833.31 = 29,833.31/x
  3. Step 3: Cross multiply
    13,876.31x = 29,833.31 × 29,833.31
  4. Step 4: Simplify right side
    13,876.31x = 890,026,534.72
  5. Step 5: Solve for x
    x = 890,026,534.72/13,876.31
  6. Step 6: Final answer
    x = 64,139.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.