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Finding the Third Proportional to 26,652 and 61,707

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Solution

The third proportional to 26,652 and 61,707 is: 142,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,652 : 61,707 = 61,707 : x
  2. Step 2: Convert to fraction form
    26,652/61,707 = 61,707/x
  3. Step 3: Cross multiply
    26,652x = 61,707 × 61,707
  4. Step 4: Simplify right side
    26,652x = 3,807,753,849
  5. Step 5: Solve for x
    x = 3,807,753,849/26,652
  6. Step 6: Final answer
    x = 142,869.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.