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Finding the Third Proportional to 44,583.75 and 65,022.75

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Solution

The third proportional to 44,583.75 and 65,022.75 is: 94,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,583.75 : 65,022.75 = 65,022.75 : x
  2. Step 2: Convert to fraction form
    44,583.75/65,022.75 = 65,022.75/x
  3. Step 3: Cross multiply
    44,583.75x = 65,022.75 × 65,022.75
  4. Step 4: Simplify right side
    44,583.75x = 4,227,958,017.56
  5. Step 5: Solve for x
    x = 4,227,958,017.56/44,583.75
  6. Step 6: Final answer
    x = 94,831.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.