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Finding the Third Proportional to 30,574.97 and 44,767.69

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Solution

The third proportional to 30,574.97 and 44,767.69 is: 65,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.97 : 44,767.69 = 44,767.69 : x
  2. Step 2: Convert to fraction form
    30,574.97/44,767.69 = 44,767.69/x
  3. Step 3: Cross multiply
    30,574.97x = 44,767.69 × 44,767.69
  4. Step 4: Simplify right side
    30,574.97x = 2,004,145,844.10
  5. Step 5: Solve for x
    x = 2,004,145,844.10/30,574.97
  6. Step 6: Final answer
    x = 65,548.58

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