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Finding the Third Proportional to 22,978.69 and 35,136.28

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Solution

The third proportional to 22,978.69 and 35,136.28 is: 53,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.69 : 35,136.28 = 35,136.28 : x
  2. Step 2: Convert to fraction form
    22,978.69/35,136.28 = 35,136.28/x
  3. Step 3: Cross multiply
    22,978.69x = 35,136.28 × 35,136.28
  4. Step 4: Simplify right side
    22,978.69x = 1,234,558,260.08
  5. Step 5: Solve for x
    x = 1,234,558,260.08/22,978.69
  6. Step 6: Final answer
    x = 53,726.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.