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Finding the Third Proportional to 44,512 and 69,320

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Solution

The third proportional to 44,512 and 69,320 is: 107,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,512 : 69,320 = 69,320 : x
  2. Step 2: Convert to fraction form
    44,512/69,320 = 69,320/x
  3. Step 3: Cross multiply
    44,512x = 69,320 × 69,320
  4. Step 4: Simplify right side
    44,512x = 4,805,262,400
  5. Step 5: Solve for x
    x = 4,805,262,400/44,512
  6. Step 6: Final answer
    x = 107,954.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.