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Finding the Third Proportional to 26,781.50 and 51,133

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Solution

The third proportional to 26,781.50 and 51,133 is: 97,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,781.50 : 51,133 = 51,133 : x
  2. Step 2: Convert to fraction form
    26,781.50/51,133 = 51,133/x
  3. Step 3: Cross multiply
    26,781.50x = 51,133 × 51,133
  4. Step 4: Simplify right side
    26,781.50x = 2,614,583,689
  5. Step 5: Solve for x
    x = 2,614,583,689/26,781.50
  6. Step 6: Final answer
    x = 97,626.48

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.