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Finding the Third Proportional to 38,178.75 and 82,008

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Solution

The third proportional to 38,178.75 and 82,008 is: 176,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178.75 : 82,008 = 82,008 : x
  2. Step 2: Convert to fraction form
    38,178.75/82,008 = 82,008/x
  3. Step 3: Cross multiply
    38,178.75x = 82,008 × 82,008
  4. Step 4: Simplify right side
    38,178.75x = 6,725,312,064
  5. Step 5: Solve for x
    x = 6,725,312,064/38,178.75
  6. Step 6: Final answer
    x = 176,153.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.