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Finding the Third Proportional to 22,705.31 and 34,065.56

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Solution

The third proportional to 22,705.31 and 34,065.56 is: 51,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.31 : 34,065.56 = 34,065.56 : x
  2. Step 2: Convert to fraction form
    22,705.31/34,065.56 = 34,065.56/x
  3. Step 3: Cross multiply
    22,705.31x = 34,065.56 × 34,065.56
  4. Step 4: Simplify right side
    22,705.31x = 1,160,462,548.44
  5. Step 5: Solve for x
    x = 1,160,462,548.44/22,705.31
  6. Step 6: Final answer
    x = 51,109.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.