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Finding the Third Proportional to 39,240.25 and 84,767.75

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Solution

The third proportional to 39,240.25 and 84,767.75 is: 183,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,240.25 : 84,767.75 = 84,767.75 : x
  2. Step 2: Convert to fraction form
    39,240.25/84,767.75 = 84,767.75/x
  3. Step 3: Cross multiply
    39,240.25x = 84,767.75 × 84,767.75
  4. Step 4: Simplify right side
    39,240.25x = 7,185,571,440.06
  5. Step 5: Solve for x
    x = 7,185,571,440.06/39,240.25
  6. Step 6: Final answer
    x = 183,117.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.