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Finding the Third Proportional to 29,551 and 44,356.75

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Solution

The third proportional to 29,551 and 44,356.75 is: 66,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,551 : 44,356.75 = 44,356.75 : x
  2. Step 2: Convert to fraction form
    29,551/44,356.75 = 44,356.75/x
  3. Step 3: Cross multiply
    29,551x = 44,356.75 × 44,356.75
  4. Step 4: Simplify right side
    29,551x = 1,967,521,270.56
  5. Step 5: Solve for x
    x = 1,967,521,270.56/29,551
  6. Step 6: Final answer
    x = 66,580.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.