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Finding the Third Proportional to 24,571.69 and 37,573.88

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Solution

The third proportional to 24,571.69 and 37,573.88 is: 57,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.69 : 37,573.88 = 37,573.88 : x
  2. Step 2: Convert to fraction form
    24,571.69/37,573.88 = 37,573.88/x
  3. Step 3: Cross multiply
    24,571.69x = 37,573.88 × 37,573.88
  4. Step 4: Simplify right side
    24,571.69x = 1,411,796,082.52
  5. Step 5: Solve for x
    x = 1,411,796,082.52/24,571.69
  6. Step 6: Final answer
    x = 57,456.21

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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.