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Finding the Third Proportional to 39,094.31 and 83,724.47

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Solution

The third proportional to 39,094.31 and 83,724.47 is: 179,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,094.31 : 83,724.47 = 83,724.47 : x
  2. Step 2: Convert to fraction form
    39,094.31/83,724.47 = 83,724.47/x
  3. Step 3: Cross multiply
    39,094.31x = 83,724.47 × 83,724.47
  4. Step 4: Simplify right side
    39,094.31x = 7,009,786,667.47
  5. Step 5: Solve for x
    x = 7,009,786,667.47/39,094.31
  6. Step 6: Final answer
    x = 179,304.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.