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Finding the Third Proportional to 24,571.13 and 37,769.63

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Solution

The third proportional to 24,571.13 and 37,769.63 is: 58,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.13 : 37,769.63 = 37,769.63 : x
  2. Step 2: Convert to fraction form
    24,571.13/37,769.63 = 37,769.63/x
  3. Step 3: Cross multiply
    24,571.13x = 37,769.63 × 37,769.63
  4. Step 4: Simplify right side
    24,571.13x = 1,426,544,572.64
  5. Step 5: Solve for x
    x = 1,426,544,572.64/24,571.13
  6. Step 6: Final answer
    x = 58,057.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.