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Finding the Third Proportional to 4,004.99 and 8,781.46

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Solution

The third proportional to 4,004.99 and 8,781.46 is: 19,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.99 : 8,781.46 = 8,781.46 : x
  2. Step 2: Convert to fraction form
    4,004.99/8,781.46 = 8,781.46/x
  3. Step 3: Cross multiply
    4,004.99x = 8,781.46 × 8,781.46
  4. Step 4: Simplify right side
    4,004.99x = 77,114,039.05
  5. Step 5: Solve for x
    x = 77,114,039.05/4,004.99
  6. Step 6: Final answer
    x = 19,254.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.