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Finding the Third Proportional to 6,165.56 and 14,410.13

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Solution

The third proportional to 6,165.56 and 14,410.13 is: 33,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.56 : 14,410.13 = 14,410.13 : x
  2. Step 2: Convert to fraction form
    6,165.56/14,410.13 = 14,410.13/x
  3. Step 3: Cross multiply
    6,165.56x = 14,410.13 × 14,410.13
  4. Step 4: Simplify right side
    6,165.56x = 207,651,702.52
  5. Step 5: Solve for x
    x = 207,651,702.52/6,165.56
  6. Step 6: Final answer
    x = 33,679.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.