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Finding the Third Proportional to 16,842.94 and 23,563.41

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Solution

The third proportional to 16,842.94 and 23,563.41 is: 32,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.94 : 23,563.41 = 23,563.41 : x
  2. Step 2: Convert to fraction form
    16,842.94/23,563.41 = 23,563.41/x
  3. Step 3: Cross multiply
    16,842.94x = 23,563.41 × 23,563.41
  4. Step 4: Simplify right side
    16,842.94x = 555,234,114.10
  5. Step 5: Solve for x
    x = 555,234,114.10/16,842.94
  6. Step 6: Final answer
    x = 32,965.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.