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Finding the Third Proportional to 30,807 and 44,022.38

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Solution

The third proportional to 30,807 and 44,022.38 is: 62,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 44,022.38 = 44,022.38 : x
  2. Step 2: Convert to fraction form
    30,807/44,022.38 = 44,022.38/x
  3. Step 3: Cross multiply
    30,807x = 44,022.38 × 44,022.38
  4. Step 4: Simplify right side
    30,807x = 1,937,969,500.64
  5. Step 5: Solve for x
    x = 1,937,969,500.64/30,807
  6. Step 6: Final answer
    x = 62,906.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.