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Finding the Third Proportional to 6,693.89 and 14,207.91

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Solution

The third proportional to 6,693.89 and 14,207.91 is: 30,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.89 : 14,207.91 = 14,207.91 : x
  2. Step 2: Convert to fraction form
    6,693.89/14,207.91 = 14,207.91/x
  3. Step 3: Cross multiply
    6,693.89x = 14,207.91 × 14,207.91
  4. Step 4: Simplify right side
    6,693.89x = 201,864,600.01
  5. Step 5: Solve for x
    x = 201,864,600.01/6,693.89
  6. Step 6: Final answer
    x = 30,156.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.