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Finding the Third Proportional to 26,857 and 56,415

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Solution

The third proportional to 26,857 and 56,415 is: 118,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857 : 56,415 = 56,415 : x
  2. Step 2: Convert to fraction form
    26,857/56,415 = 56,415/x
  3. Step 3: Cross multiply
    26,857x = 56,415 × 56,415
  4. Step 4: Simplify right side
    26,857x = 3,182,652,225
  5. Step 5: Solve for x
    x = 3,182,652,225/26,857
  6. Step 6: Final answer
    x = 118,503.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.