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Finding the Third Proportional to 21,933 and 35,321.63

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Solution

The third proportional to 21,933 and 35,321.63 is: 56,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 35,321.63 = 35,321.63 : x
  2. Step 2: Convert to fraction form
    21,933/35,321.63 = 35,321.63/x
  3. Step 3: Cross multiply
    21,933x = 35,321.63 × 35,321.63
  4. Step 4: Simplify right side
    21,933x = 1,247,617,192.64
  5. Step 5: Solve for x
    x = 1,247,617,192.64/21,933
  6. Step 6: Final answer
    x = 56,883.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.