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Finding the Third Proportional to 26,018 and 56,750

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Solution

The third proportional to 26,018 and 56,750 is: 123,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,018 : 56,750 = 56,750 : x
  2. Step 2: Convert to fraction form
    26,018/56,750 = 56,750/x
  3. Step 3: Cross multiply
    26,018x = 56,750 × 56,750
  4. Step 4: Simplify right side
    26,018x = 3,220,562,500
  5. Step 5: Solve for x
    x = 3,220,562,500/26,018
  6. Step 6: Final answer
    x = 123,782.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.