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Finding the Third Proportional to 26,790 and 37,737

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Solution

The third proportional to 26,790 and 37,737 is: 53,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790 : 37,737 = 37,737 : x
  2. Step 2: Convert to fraction form
    26,790/37,737 = 37,737/x
  3. Step 3: Cross multiply
    26,790x = 37,737 × 37,737
  4. Step 4: Simplify right side
    26,790x = 1,424,081,169
  5. Step 5: Solve for x
    x = 1,424,081,169/26,790
  6. Step 6: Final answer
    x = 53,157.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.