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Finding the Third Proportional to 8,954.10 and 19,463.02

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Solution

The third proportional to 8,954.10 and 19,463.02 is: 42,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.10 : 19,463.02 = 19,463.02 : x
  2. Step 2: Convert to fraction form
    8,954.10/19,463.02 = 19,463.02/x
  3. Step 3: Cross multiply
    8,954.10x = 19,463.02 × 19,463.02
  4. Step 4: Simplify right side
    8,954.10x = 378,809,091.26
  5. Step 5: Solve for x
    x = 378,809,091.26/8,954.10
  6. Step 6: Final answer
    x = 42,305.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.