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Finding the Third Proportional to 44,333 and 64,849

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Solution

The third proportional to 44,333 and 64,849 is: 94,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,333 : 64,849 = 64,849 : x
  2. Step 2: Convert to fraction form
    44,333/64,849 = 64,849/x
  3. Step 3: Cross multiply
    44,333x = 64,849 × 64,849
  4. Step 4: Simplify right side
    44,333x = 4,205,392,801
  5. Step 5: Solve for x
    x = 4,205,392,801/44,333
  6. Step 6: Final answer
    x = 94,859.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.