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Finding the Third Proportional to 26,135.50 and 56,463

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Solution

The third proportional to 26,135.50 and 56,463 is: 121,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,135.50 : 56,463 = 56,463 : x
  2. Step 2: Convert to fraction form
    26,135.50/56,463 = 56,463/x
  3. Step 3: Cross multiply
    26,135.50x = 56,463 × 56,463
  4. Step 4: Simplify right side
    26,135.50x = 3,188,070,369
  5. Step 5: Solve for x
    x = 3,188,070,369/26,135.50
  6. Step 6: Final answer
    x = 121,982.38

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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.