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Finding the Third Proportional to 26,151.50 and 56,515

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Solution

The third proportional to 26,151.50 and 56,515 is: 122,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,151.50 : 56,515 = 56,515 : x
  2. Step 2: Convert to fraction form
    26,151.50/56,515 = 56,515/x
  3. Step 3: Cross multiply
    26,151.50x = 56,515 × 56,515
  4. Step 4: Simplify right side
    26,151.50x = 3,193,945,225
  5. Step 5: Solve for x
    x = 3,193,945,225/26,151.50
  6. Step 6: Final answer
    x = 122,132.39

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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.