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Finding the Third Proportional to 24,789.94 and 37,765.97

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Solution

The third proportional to 24,789.94 and 37,765.97 is: 57,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,789.94 : 37,765.97 = 37,765.97 : x
  2. Step 2: Convert to fraction form
    24,789.94/37,765.97 = 37,765.97/x
  3. Step 3: Cross multiply
    24,789.94x = 37,765.97 × 37,765.97
  4. Step 4: Simplify right side
    24,789.94x = 1,426,268,395.63
  5. Step 5: Solve for x
    x = 1,426,268,395.63/24,789.94
  6. Step 6: Final answer
    x = 57,534.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.