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Finding the Third Proportional to 35,912.81 and 72,851.44

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Solution

The third proportional to 35,912.81 and 72,851.44 is: 147,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,912.81 : 72,851.44 = 72,851.44 : x
  2. Step 2: Convert to fraction form
    35,912.81/72,851.44 = 72,851.44/x
  3. Step 3: Cross multiply
    35,912.81x = 72,851.44 × 72,851.44
  4. Step 4: Simplify right side
    35,912.81x = 5,307,331,945.82
  5. Step 5: Solve for x
    x = 5,307,331,945.82/35,912.81
  6. Step 6: Final answer
    x = 147,783.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.