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Finding the Third Proportional to 39,242.25 and 56,043.75

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Solution

The third proportional to 39,242.25 and 56,043.75 is: 80,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242.25 : 56,043.75 = 56,043.75 : x
  2. Step 2: Convert to fraction form
    39,242.25/56,043.75 = 56,043.75/x
  3. Step 3: Cross multiply
    39,242.25x = 56,043.75 × 56,043.75
  4. Step 4: Simplify right side
    39,242.25x = 3,140,901,914.06
  5. Step 5: Solve for x
    x = 3,140,901,914.06/39,242.25
  6. Step 6: Final answer
    x = 80,038.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.