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Finding the Third Proportional to 41,953.50 and 81,777.38

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Solution

The third proportional to 41,953.50 and 81,777.38 is: 159,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,953.50 : 81,777.38 = 81,777.38 : x
  2. Step 2: Convert to fraction form
    41,953.50/81,777.38 = 81,777.38/x
  3. Step 3: Cross multiply
    41,953.50x = 81,777.38 × 81,777.38
  4. Step 4: Simplify right side
    41,953.50x = 6,687,539,061.89
  5. Step 5: Solve for x
    x = 6,687,539,061.89/41,953.50
  6. Step 6: Final answer
    x = 159,403.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.