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Finding the Third Proportional to 32,107.50 and 43,294.50

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Solution

The third proportional to 32,107.50 and 43,294.50 is: 58,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.50 : 43,294.50 = 43,294.50 : x
  2. Step 2: Convert to fraction form
    32,107.50/43,294.50 = 43,294.50/x
  3. Step 3: Cross multiply
    32,107.50x = 43,294.50 × 43,294.50
  4. Step 4: Simplify right side
    32,107.50x = 1,874,413,730.25
  5. Step 5: Solve for x
    x = 1,874,413,730.25/32,107.50
  6. Step 6: Final answer
    x = 58,379.31

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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.