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Finding the Third Proportional to 35,039.25 and 54,280.13

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Solution

The third proportional to 35,039.25 and 54,280.13 is: 84,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,039.25 : 54,280.13 = 54,280.13 : x
  2. Step 2: Convert to fraction form
    35,039.25/54,280.13 = 54,280.13/x
  3. Step 3: Cross multiply
    35,039.25x = 54,280.13 × 54,280.13
  4. Step 4: Simplify right side
    35,039.25x = 2,946,331,970.02
  5. Step 5: Solve for x
    x = 2,946,331,970.02/35,039.25
  6. Step 6: Final answer
    x = 84,086.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.