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Finding the Third Proportional to 24,417.25 and 51,831.75

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Solution

The third proportional to 24,417.25 and 51,831.75 is: 110,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.25 : 51,831.75 = 51,831.75 : x
  2. Step 2: Convert to fraction form
    24,417.25/51,831.75 = 51,831.75/x
  3. Step 3: Cross multiply
    24,417.25x = 51,831.75 × 51,831.75
  4. Step 4: Simplify right side
    24,417.25x = 2,686,530,308.06
  5. Step 5: Solve for x
    x = 2,686,530,308.06/24,417.25
  6. Step 6: Final answer
    x = 110,025.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.