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Finding the Third Proportional to 25,027.31 and 33,782.06

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Solution

The third proportional to 25,027.31 and 33,782.06 is: 45,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,027.31 : 33,782.06 = 33,782.06 : x
  2. Step 2: Convert to fraction form
    25,027.31/33,782.06 = 33,782.06/x
  3. Step 3: Cross multiply
    25,027.31x = 33,782.06 × 33,782.06
  4. Step 4: Simplify right side
    25,027.31x = 1,141,227,746.75
  5. Step 5: Solve for x
    x = 1,141,227,746.75/25,027.31
  6. Step 6: Final answer
    x = 45,599.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.