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Finding the Third Proportional to 21,343.75 and 35,393

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Solution

The third proportional to 21,343.75 and 35,393 is: 58,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.75 : 35,393 = 35,393 : x
  2. Step 2: Convert to fraction form
    21,343.75/35,393 = 35,393/x
  3. Step 3: Cross multiply
    21,343.75x = 35,393 × 35,393
  4. Step 4: Simplify right side
    21,343.75x = 1,252,664,449
  5. Step 5: Solve for x
    x = 1,252,664,449/21,343.75
  6. Step 6: Final answer
    x = 58,689.99

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.