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Finding the Third Proportional to 38,036.25 and 81,349.31

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Solution

The third proportional to 38,036.25 and 81,349.31 is: 173,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036.25 : 81,349.31 = 81,349.31 : x
  2. Step 2: Convert to fraction form
    38,036.25/81,349.31 = 81,349.31/x
  3. Step 3: Cross multiply
    38,036.25x = 81,349.31 × 81,349.31
  4. Step 4: Simplify right side
    38,036.25x = 6,617,710,644.22
  5. Step 5: Solve for x
    x = 6,617,710,644.22/38,036.25
  6. Step 6: Final answer
    x = 173,984.31

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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.