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Finding the Third Proportional to 10,108.69 and 21,935.34

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Solution

The third proportional to 10,108.69 and 21,935.34 is: 47,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.69 : 21,935.34 = 21,935.34 : x
  2. Step 2: Convert to fraction form
    10,108.69/21,935.34 = 21,935.34/x
  3. Step 3: Cross multiply
    10,108.69x = 21,935.34 × 21,935.34
  4. Step 4: Simplify right side
    10,108.69x = 481,159,305.43
  5. Step 5: Solve for x
    x = 481,159,305.43/10,108.69
  6. Step 6: Final answer
    x = 47,598.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.