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Finding the Third Proportional to 19,974 and 33,033

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Solution

The third proportional to 19,974 and 33,033 is: 54,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 33,033 = 33,033 : x
  2. Step 2: Convert to fraction form
    19,974/33,033 = 33,033/x
  3. Step 3: Cross multiply
    19,974x = 33,033 × 33,033
  4. Step 4: Simplify right side
    19,974x = 1,091,179,089
  5. Step 5: Solve for x
    x = 1,091,179,089/19,974
  6. Step 6: Final answer
    x = 54,629.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.