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Finding the Third Proportional to 6,813.49 and 14,967.28

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Solution

The third proportional to 6,813.49 and 14,967.28 is: 32,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.49 : 14,967.28 = 14,967.28 : x
  2. Step 2: Convert to fraction form
    6,813.49/14,967.28 = 14,967.28/x
  3. Step 3: Cross multiply
    6,813.49x = 14,967.28 × 14,967.28
  4. Step 4: Simplify right side
    6,813.49x = 224,019,508.02
  5. Step 5: Solve for x
    x = 224,019,508.02/6,813.49
  6. Step 6: Final answer
    x = 32,878.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.