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Finding the Third Proportional to 44,895 and 68,913

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Solution

The third proportional to 44,895 and 68,913 is: 105,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,895 : 68,913 = 68,913 : x
  2. Step 2: Convert to fraction form
    44,895/68,913 = 68,913/x
  3. Step 3: Cross multiply
    44,895x = 68,913 × 68,913
  4. Step 4: Simplify right side
    44,895x = 4,749,001,569
  5. Step 5: Solve for x
    x = 4,749,001,569/44,895
  6. Step 6: Final answer
    x = 105,780.19

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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.