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Finding the Third Proportional to 44,911 and 74,847

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Solution

The third proportional to 44,911 and 74,847 is: 124,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,911 : 74,847 = 74,847 : x
  2. Step 2: Convert to fraction form
    44,911/74,847 = 74,847/x
  3. Step 3: Cross multiply
    44,911x = 74,847 × 74,847
  4. Step 4: Simplify right side
    44,911x = 5,602,073,409
  5. Step 5: Solve for x
    x = 5,602,073,409/44,911
  6. Step 6: Final answer
    x = 124,737.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.