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Finding the Third Proportional to 26,831.25 and 58,275.56

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Solution

The third proportional to 26,831.25 and 58,275.56 is: 126,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,831.25 : 58,275.56 = 58,275.56 : x
  2. Step 2: Convert to fraction form
    26,831.25/58,275.56 = 58,275.56/x
  3. Step 3: Cross multiply
    26,831.25x = 58,275.56 × 58,275.56
  4. Step 4: Simplify right side
    26,831.25x = 3,396,041,184.69
  5. Step 5: Solve for x
    x = 3,396,041,184.69/26,831.25
  6. Step 6: Final answer
    x = 126,570.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.