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Finding the Third Proportional to 6,832.13 and 14,648.63

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Solution

The third proportional to 6,832.13 and 14,648.63 is: 31,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.13 : 14,648.63 = 14,648.63 : x
  2. Step 2: Convert to fraction form
    6,832.13/14,648.63 = 14,648.63/x
  3. Step 3: Cross multiply
    6,832.13x = 14,648.63 × 14,648.63
  4. Step 4: Simplify right side
    6,832.13x = 214,582,214.39
  5. Step 5: Solve for x
    x = 214,582,214.39/6,832.13
  6. Step 6: Final answer
    x = 31,407.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.