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Finding the Third Proportional to 44,584 and 69,257

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Solution

The third proportional to 44,584 and 69,257 is: 107,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,584 : 69,257 = 69,257 : x
  2. Step 2: Convert to fraction form
    44,584/69,257 = 69,257/x
  3. Step 3: Cross multiply
    44,584x = 69,257 × 69,257
  4. Step 4: Simplify right side
    44,584x = 4,796,532,049
  5. Step 5: Solve for x
    x = 4,796,532,049/44,584
  6. Step 6: Final answer
    x = 107,584.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.