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Finding the Third Proportional to 26,294 and 53,815

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Solution

The third proportional to 26,294 and 53,815 is: 110,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294 : 53,815 = 53,815 : x
  2. Step 2: Convert to fraction form
    26,294/53,815 = 53,815/x
  3. Step 3: Cross multiply
    26,294x = 53,815 × 53,815
  4. Step 4: Simplify right side
    26,294x = 2,896,054,225
  5. Step 5: Solve for x
    x = 2,896,054,225/26,294
  6. Step 6: Final answer
    x = 110,141.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.