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Finding the Third Proportional to 44,584 and 94,992

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Solution

The third proportional to 44,584 and 94,992 is: 202,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,584 : 94,992 = 94,992 : x
  2. Step 2: Convert to fraction form
    44,584/94,992 = 94,992/x
  3. Step 3: Cross multiply
    44,584x = 94,992 × 94,992
  4. Step 4: Simplify right side
    44,584x = 9,023,480,064
  5. Step 5: Solve for x
    x = 9,023,480,064/44,584
  6. Step 6: Final answer
    x = 202,392.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.