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Finding the Third Proportional to 6,165.13 and 13,315.63

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Solution

The third proportional to 6,165.13 and 13,315.63 is: 28,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.13 : 13,315.63 = 13,315.63 : x
  2. Step 2: Convert to fraction form
    6,165.13/13,315.63 = 13,315.63/x
  3. Step 3: Cross multiply
    6,165.13x = 13,315.63 × 13,315.63
  4. Step 4: Simplify right side
    6,165.13x = 177,305,869.14
  5. Step 5: Solve for x
    x = 177,305,869.14/6,165.13
  6. Step 6: Final answer
    x = 28,759.49

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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.