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Finding the Third Proportional to 14,563.13 and 33,621.75

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Solution

The third proportional to 14,563.13 and 33,621.75 is: 77,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.13 : 33,621.75 = 33,621.75 : x
  2. Step 2: Convert to fraction form
    14,563.13/33,621.75 = 33,621.75/x
  3. Step 3: Cross multiply
    14,563.13x = 33,621.75 × 33,621.75
  4. Step 4: Simplify right side
    14,563.13x = 1,130,422,073.06
  5. Step 5: Solve for x
    x = 1,130,422,073.06/14,563.13
  6. Step 6: Final answer
    x = 77,622.22

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.