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Finding the Third Proportional to 26,796 and 60,610

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Solution

The third proportional to 26,796 and 60,610 is: 137,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,796 : 60,610 = 60,610 : x
  2. Step 2: Convert to fraction form
    26,796/60,610 = 60,610/x
  3. Step 3: Cross multiply
    26,796x = 60,610 × 60,610
  4. Step 4: Simplify right side
    26,796x = 3,673,572,100
  5. Step 5: Solve for x
    x = 3,673,572,100/26,796
  6. Step 6: Final answer
    x = 137,094.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.