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Finding the Third Proportional to 6,705.28 and 14,530.64

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Solution

The third proportional to 6,705.28 and 14,530.64 is: 31,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.28 : 14,530.64 = 14,530.64 : x
  2. Step 2: Convert to fraction form
    6,705.28/14,530.64 = 14,530.64/x
  3. Step 3: Cross multiply
    6,705.28x = 14,530.64 × 14,530.64
  4. Step 4: Simplify right side
    6,705.28x = 211,139,516.97
  5. Step 5: Solve for x
    x = 211,139,516.97/6,705.28
  6. Step 6: Final answer
    x = 31,488.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.