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Finding the Third Proportional to 21,448 and 32,984

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Solution

The third proportional to 21,448 and 32,984 is: 50,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448 : 32,984 = 32,984 : x
  2. Step 2: Convert to fraction form
    21,448/32,984 = 32,984/x
  3. Step 3: Cross multiply
    21,448x = 32,984 × 32,984
  4. Step 4: Simplify right side
    21,448x = 1,087,944,256
  5. Step 5: Solve for x
    x = 1,087,944,256/21,448
  6. Step 6: Final answer
    x = 50,724.74

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