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Finding the Third Proportional to 26,954 and 48,642.50

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Solution

The third proportional to 26,954 and 48,642.50 is: 87,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,954 : 48,642.50 = 48,642.50 : x
  2. Step 2: Convert to fraction form
    26,954/48,642.50 = 48,642.50/x
  3. Step 3: Cross multiply
    26,954x = 48,642.50 × 48,642.50
  4. Step 4: Simplify right side
    26,954x = 2,366,092,806.25
  5. Step 5: Solve for x
    x = 2,366,092,806.25/26,954
  6. Step 6: Final answer
    x = 87,782.62

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.