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Finding the Third Proportional to 6,913.13 and 14,835.38

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Solution

The third proportional to 6,913.13 and 14,835.38 is: 31,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.13 : 14,835.38 = 14,835.38 : x
  2. Step 2: Convert to fraction form
    6,913.13/14,835.38 = 14,835.38/x
  3. Step 3: Cross multiply
    6,913.13x = 14,835.38 × 14,835.38
  4. Step 4: Simplify right side
    6,913.13x = 220,088,351.39
  5. Step 5: Solve for x
    x = 220,088,351.39/6,913.13
  6. Step 6: Final answer
    x = 31,836.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.