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Finding the Third Proportional to 33,073.31 and 72,095.06

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Solution

The third proportional to 33,073.31 and 72,095.06 is: 157,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073.31 : 72,095.06 = 72,095.06 : x
  2. Step 2: Convert to fraction form
    33,073.31/72,095.06 = 72,095.06/x
  3. Step 3: Cross multiply
    33,073.31x = 72,095.06 × 72,095.06
  4. Step 4: Simplify right side
    33,073.31x = 5,197,698,036.88
  5. Step 5: Solve for x
    x = 5,197,698,036.88/33,073.31
  6. Step 6: Final answer
    x = 157,156.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.