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Finding the Third Proportional to 44,364 and 57,762

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Solution

The third proportional to 44,364 and 57,762 is: 75,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,364 : 57,762 = 57,762 : x
  2. Step 2: Convert to fraction form
    44,364/57,762 = 57,762/x
  3. Step 3: Cross multiply
    44,364x = 57,762 × 57,762
  4. Step 4: Simplify right side
    44,364x = 3,336,448,644
  5. Step 5: Solve for x
    x = 3,336,448,644/44,364
  6. Step 6: Final answer
    x = 75,206.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.