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Finding the Third Proportional to 6,215.91 and 13,424.80

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Solution

The third proportional to 6,215.91 and 13,424.80 is: 28,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.91 : 13,424.80 = 13,424.80 : x
  2. Step 2: Convert to fraction form
    6,215.91/13,424.80 = 13,424.80/x
  3. Step 3: Cross multiply
    6,215.91x = 13,424.80 × 13,424.80
  4. Step 4: Simplify right side
    6,215.91x = 180,225,276.02
  5. Step 5: Solve for x
    x = 180,225,276.02/6,215.91
  6. Step 6: Final answer
    x = 28,994.21

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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.