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Finding the Third Proportional to 38,955.94 and 85,327.17

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Solution

The third proportional to 38,955.94 and 85,327.17 is: 186,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,955.94 : 85,327.17 = 85,327.17 : x
  2. Step 2: Convert to fraction form
    38,955.94/85,327.17 = 85,327.17/x
  3. Step 3: Cross multiply
    38,955.94x = 85,327.17 × 85,327.17
  4. Step 4: Simplify right side
    38,955.94x = 7,280,726,260.19
  5. Step 5: Solve for x
    x = 7,280,726,260.19/38,955.94
  6. Step 6: Final answer
    x = 186,896.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.