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Finding the Third Proportional to 8,150.63 and 17,004.94

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Solution

The third proportional to 8,150.63 and 17,004.94 is: 35,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.63 : 17,004.94 = 17,004.94 : x
  2. Step 2: Convert to fraction form
    8,150.63/17,004.94 = 17,004.94/x
  3. Step 3: Cross multiply
    8,150.63x = 17,004.94 × 17,004.94
  4. Step 4: Simplify right side
    8,150.63x = 289,167,899.38
  5. Step 5: Solve for x
    x = 289,167,899.38/8,150.63
  6. Step 6: Final answer
    x = 35,478.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.