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Finding the Third Proportional to 21,998 and 33,787

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Solution

The third proportional to 21,998 and 33,787 is: 51,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998 : 33,787 = 33,787 : x
  2. Step 2: Convert to fraction form
    21,998/33,787 = 33,787/x
  3. Step 3: Cross multiply
    21,998x = 33,787 × 33,787
  4. Step 4: Simplify right side
    21,998x = 1,141,561,369
  5. Step 5: Solve for x
    x = 1,141,561,369/21,998
  6. Step 6: Final answer
    x = 51,893.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.