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Finding the Third Proportional to 39,239.25 and 84,765.75

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Solution

The third proportional to 39,239.25 and 84,765.75 is: 183,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,239.25 : 84,765.75 = 84,765.75 : x
  2. Step 2: Convert to fraction form
    39,239.25/84,765.75 = 84,765.75/x
  3. Step 3: Cross multiply
    39,239.25x = 84,765.75 × 84,765.75
  4. Step 4: Simplify right side
    39,239.25x = 7,185,232,373.06
  5. Step 5: Solve for x
    x = 7,185,232,373.06/39,239.25
  6. Step 6: Final answer
    x = 183,113.40

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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.