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Finding the Third Proportional to 3,709.55 and 8,004.29

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Solution

The third proportional to 3,709.55 and 8,004.29 is: 17,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.55 : 8,004.29 = 8,004.29 : x
  2. Step 2: Convert to fraction form
    3,709.55/8,004.29 = 8,004.29/x
  3. Step 3: Cross multiply
    3,709.55x = 8,004.29 × 8,004.29
  4. Step 4: Simplify right side
    3,709.55x = 64,068,612.13
  5. Step 5: Solve for x
    x = 64,068,612.13/3,709.55
  6. Step 6: Final answer
    x = 17,271.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.