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Finding the Third Proportional to 26,273 and 56,915

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Solution

The third proportional to 26,273 and 56,915 is: 123,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,273 : 56,915 = 56,915 : x
  2. Step 2: Convert to fraction form
    26,273/56,915 = 56,915/x
  3. Step 3: Cross multiply
    26,273x = 56,915 × 56,915
  4. Step 4: Simplify right side
    26,273x = 3,239,317,225
  5. Step 5: Solve for x
    x = 3,239,317,225/26,273
  6. Step 6: Final answer
    x = 123,294.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.