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Finding the Third Proportional to 26,247 and 61,315.50

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Solution

The third proportional to 26,247 and 61,315.50 is: 143,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,247 : 61,315.50 = 61,315.50 : x
  2. Step 2: Convert to fraction form
    26,247/61,315.50 = 61,315.50/x
  3. Step 3: Cross multiply
    26,247x = 61,315.50 × 61,315.50
  4. Step 4: Simplify right side
    26,247x = 3,759,590,540.25
  5. Step 5: Solve for x
    x = 3,759,590,540.25/26,247
  6. Step 6: Final answer
    x = 143,238.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.