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Finding the Third Proportional to 23,563.41 and 33,587.16

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Solution

The third proportional to 23,563.41 and 33,587.16 is: 47,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.41 : 33,587.16 = 33,587.16 : x
  2. Step 2: Convert to fraction form
    23,563.41/33,587.16 = 33,587.16/x
  3. Step 3: Cross multiply
    23,563.41x = 33,587.16 × 33,587.16
  4. Step 4: Simplify right side
    23,563.41x = 1,128,097,064.96
  5. Step 5: Solve for x
    x = 1,128,097,064.96/23,563.41
  6. Step 6: Final answer
    x = 47,874.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.