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Finding the Third Proportional to 31,754 and 44,595

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Solution

The third proportional to 31,754 and 44,595 is: 62,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754 : 44,595 = 44,595 : x
  2. Step 2: Convert to fraction form
    31,754/44,595 = 44,595/x
  3. Step 3: Cross multiply
    31,754x = 44,595 × 44,595
  4. Step 4: Simplify right side
    31,754x = 1,988,714,025
  5. Step 5: Solve for x
    x = 1,988,714,025/31,754
  6. Step 6: Final answer
    x = 62,628.77

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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.