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Finding the Third Proportional to 26,817.75 and 58,050

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Solution

The third proportional to 26,817.75 and 58,050 is: 125,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,817.75 : 58,050 = 58,050 : x
  2. Step 2: Convert to fraction form
    26,817.75/58,050 = 58,050/x
  3. Step 3: Cross multiply
    26,817.75x = 58,050 × 58,050
  4. Step 4: Simplify right side
    26,817.75x = 3,369,802,500
  5. Step 5: Solve for x
    x = 3,369,802,500/26,817.75
  6. Step 6: Final answer
    x = 125,655.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.