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Finding the Third Proportional to 43,982.50 and 94,877

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Solution

The third proportional to 43,982.50 and 94,877 is: 204,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,982.50 : 94,877 = 94,877 : x
  2. Step 2: Convert to fraction form
    43,982.50/94,877 = 94,877/x
  3. Step 3: Cross multiply
    43,982.50x = 94,877 × 94,877
  4. Step 4: Simplify right side
    43,982.50x = 9,001,645,129
  5. Step 5: Solve for x
    x = 9,001,645,129/43,982.50
  6. Step 6: Final answer
    x = 204,664.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.