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Finding the Third Proportional to 31,977 and 44,724

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Solution

The third proportional to 31,977 and 44,724 is: 62,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977 : 44,724 = 44,724 : x
  2. Step 2: Convert to fraction form
    31,977/44,724 = 44,724/x
  3. Step 3: Cross multiply
    31,977x = 44,724 × 44,724
  4. Step 4: Simplify right side
    31,977x = 2,000,236,176
  5. Step 5: Solve for x
    x = 2,000,236,176/31,977
  6. Step 6: Final answer
    x = 62,552.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.