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Finding the Third Proportional to 44,894 and 68,543

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Solution

The third proportional to 44,894 and 68,543 is: 104,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,894 : 68,543 = 68,543 : x
  2. Step 2: Convert to fraction form
    44,894/68,543 = 68,543/x
  3. Step 3: Cross multiply
    44,894x = 68,543 × 68,543
  4. Step 4: Simplify right side
    44,894x = 4,698,142,849
  5. Step 5: Solve for x
    x = 4,698,142,849/44,894
  6. Step 6: Final answer
    x = 104,649.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.