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Finding the Third Proportional to 26,151.75 and 37,707.75

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Solution

The third proportional to 26,151.75 and 37,707.75 is: 54,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,151.75 : 37,707.75 = 37,707.75 : x
  2. Step 2: Convert to fraction form
    26,151.75/37,707.75 = 37,707.75/x
  3. Step 3: Cross multiply
    26,151.75x = 37,707.75 × 37,707.75
  4. Step 4: Simplify right side
    26,151.75x = 1,421,874,410.06
  5. Step 5: Solve for x
    x = 1,421,874,410.06/26,151.75
  6. Step 6: Final answer
    x = 54,370.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.