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Finding the Third Proportional to 26,166 and 39,630

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Solution

The third proportional to 26,166 and 39,630 is: 60,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,166 : 39,630 = 39,630 : x
  2. Step 2: Convert to fraction form
    26,166/39,630 = 39,630/x
  3. Step 3: Cross multiply
    26,166x = 39,630 × 39,630
  4. Step 4: Simplify right side
    26,166x = 1,570,536,900
  5. Step 5: Solve for x
    x = 1,570,536,900/26,166
  6. Step 6: Final answer
    x = 60,022.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.