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Finding the Third Proportional to 15,789.94 and 24,264.56

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Solution

The third proportional to 15,789.94 and 24,264.56 is: 37,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789.94 : 24,264.56 = 24,264.56 : x
  2. Step 2: Convert to fraction form
    15,789.94/24,264.56 = 24,264.56/x
  3. Step 3: Cross multiply
    15,789.94x = 24,264.56 × 24,264.56
  4. Step 4: Simplify right side
    15,789.94x = 588,768,993.32
  5. Step 5: Solve for x
    x = 588,768,993.32/15,789.94
  6. Step 6: Final answer
    x = 37,287.61

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