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Finding the Third Proportional to 40,913.25 and 55,537.50

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Solution

The third proportional to 40,913.25 and 55,537.50 is: 75,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,913.25 : 55,537.50 = 55,537.50 : x
  2. Step 2: Convert to fraction form
    40,913.25/55,537.50 = 55,537.50/x
  3. Step 3: Cross multiply
    40,913.25x = 55,537.50 × 55,537.50
  4. Step 4: Simplify right side
    40,913.25x = 3,084,413,906.25
  5. Step 5: Solve for x
    x = 3,084,413,906.25/40,913.25
  6. Step 6: Final answer
    x = 75,389.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.