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Finding the Third Proportional to 44,035 and 66,892.50

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Solution

The third proportional to 44,035 and 66,892.50 is: 101,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,035 : 66,892.50 = 66,892.50 : x
  2. Step 2: Convert to fraction form
    44,035/66,892.50 = 66,892.50/x
  3. Step 3: Cross multiply
    44,035x = 66,892.50 × 66,892.50
  4. Step 4: Simplify right side
    44,035x = 4,474,606,556.25
  5. Step 5: Solve for x
    x = 4,474,606,556.25/44,035
  6. Step 6: Final answer
    x = 101,614.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.