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Finding the Third Proportional to 15,783.19 and 23,940.56

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Solution

The third proportional to 15,783.19 and 23,940.56 is: 36,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.19 : 23,940.56 = 23,940.56 : x
  2. Step 2: Convert to fraction form
    15,783.19/23,940.56 = 23,940.56/x
  3. Step 3: Cross multiply
    15,783.19x = 23,940.56 × 23,940.56
  4. Step 4: Simplify right side
    15,783.19x = 573,150,532.82
  5. Step 5: Solve for x
    x = 573,150,532.82/15,783.19
  6. Step 6: Final answer
    x = 36,313.99

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