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Finding the Third Proportional to 42,944 and 66,045

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Solution

The third proportional to 42,944 and 66,045 is: 101,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,944 : 66,045 = 66,045 : x
  2. Step 2: Convert to fraction form
    42,944/66,045 = 66,045/x
  3. Step 3: Cross multiply
    42,944x = 66,045 × 66,045
  4. Step 4: Simplify right side
    42,944x = 4,361,942,025
  5. Step 5: Solve for x
    x = 4,361,942,025/42,944
  6. Step 6: Final answer
    x = 101,572.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.