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Finding the Third Proportional to 26,668 and 61,737

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Solution

The third proportional to 26,668 and 61,737 is: 142,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668 : 61,737 = 61,737 : x
  2. Step 2: Convert to fraction form
    26,668/61,737 = 61,737/x
  3. Step 3: Cross multiply
    26,668x = 61,737 × 61,737
  4. Step 4: Simplify right side
    26,668x = 3,811,457,169
  5. Step 5: Solve for x
    x = 3,811,457,169/26,668
  6. Step 6: Final answer
    x = 142,922.50

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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.