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Finding the Third Proportional to 40,864.50 and 85,473

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Solution

The third proportional to 40,864.50 and 85,473 is: 178,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864.50 : 85,473 = 85,473 : x
  2. Step 2: Convert to fraction form
    40,864.50/85,473 = 85,473/x
  3. Step 3: Cross multiply
    40,864.50x = 85,473 × 85,473
  4. Step 4: Simplify right side
    40,864.50x = 7,305,633,729
  5. Step 5: Solve for x
    x = 7,305,633,729/40,864.50
  6. Step 6: Final answer
    x = 178,777.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.