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Finding the Third Proportional to 26,878.50 and 61,310.25

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Solution

The third proportional to 26,878.50 and 61,310.25 is: 139,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,878.50 : 61,310.25 = 61,310.25 : x
  2. Step 2: Convert to fraction form
    26,878.50/61,310.25 = 61,310.25/x
  3. Step 3: Cross multiply
    26,878.50x = 61,310.25 × 61,310.25
  4. Step 4: Simplify right side
    26,878.50x = 3,758,946,755.06
  5. Step 5: Solve for x
    x = 3,758,946,755.06/26,878.50
  6. Step 6: Final answer
    x = 139,849.57

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.