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Finding the Third Proportional to 12,777.75 and 27,703.69

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Solution

The third proportional to 12,777.75 and 27,703.69 is: 60,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.75 : 27,703.69 = 27,703.69 : x
  2. Step 2: Convert to fraction form
    12,777.75/27,703.69 = 27,703.69/x
  3. Step 3: Cross multiply
    12,777.75x = 27,703.69 × 27,703.69
  4. Step 4: Simplify right side
    12,777.75x = 767,494,301.10
  5. Step 5: Solve for x
    x = 767,494,301.10/12,777.75
  6. Step 6: Final answer
    x = 60,064.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.