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Finding the Third Proportional to 27,773 and 59,649

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Solution

The third proportional to 27,773 and 59,649 is: 128,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773 : 59,649 = 59,649 : x
  2. Step 2: Convert to fraction form
    27,773/59,649 = 59,649/x
  3. Step 3: Cross multiply
    27,773x = 59,649 × 59,649
  4. Step 4: Simplify right side
    27,773x = 3,558,003,201
  5. Step 5: Solve for x
    x = 3,558,003,201/27,773
  6. Step 6: Final answer
    x = 128,110.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.