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Finding the Third Proportional to 6,488.44 and 14,246.72

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Solution

The third proportional to 6,488.44 and 14,246.72 is: 31,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.44 : 14,246.72 = 14,246.72 : x
  2. Step 2: Convert to fraction form
    6,488.44/14,246.72 = 14,246.72/x
  3. Step 3: Cross multiply
    6,488.44x = 14,246.72 × 14,246.72
  4. Step 4: Simplify right side
    6,488.44x = 202,968,995.14
  5. Step 5: Solve for x
    x = 202,968,995.14/6,488.44
  6. Step 6: Final answer
    x = 31,281.64

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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.