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Finding the Third Proportional to 26,306.25 and 56,349

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Solution

The third proportional to 26,306.25 and 56,349 is: 120,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306.25 : 56,349 = 56,349 : x
  2. Step 2: Convert to fraction form
    26,306.25/56,349 = 56,349/x
  3. Step 3: Cross multiply
    26,306.25x = 56,349 × 56,349
  4. Step 4: Simplify right side
    26,306.25x = 3,175,209,801
  5. Step 5: Solve for x
    x = 3,175,209,801/26,306.25
  6. Step 6: Final answer
    x = 120,701.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.