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Finding the Third Proportional to 10,136.39 and 21,983.91

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Solution

The third proportional to 10,136.39 and 21,983.91 is: 47,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.39 : 21,983.91 = 21,983.91 : x
  2. Step 2: Convert to fraction form
    10,136.39/21,983.91 = 21,983.91/x
  3. Step 3: Cross multiply
    10,136.39x = 21,983.91 × 21,983.91
  4. Step 4: Simplify right side
    10,136.39x = 483,292,134.01
  5. Step 5: Solve for x
    x = 483,292,134.01/10,136.39
  6. Step 6: Final answer
    x = 47,678.92

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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.