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Finding the Third Proportional to 6,710.63 and 14,763.38

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Solution

The third proportional to 6,710.63 and 14,763.38 is: 32,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.63 : 14,763.38 = 14,763.38 : x
  2. Step 2: Convert to fraction form
    6,710.63/14,763.38 = 14,763.38/x
  3. Step 3: Cross multiply
    6,710.63x = 14,763.38 × 14,763.38
  4. Step 4: Simplify right side
    6,710.63x = 217,957,241.39
  5. Step 5: Solve for x
    x = 217,957,241.39/6,710.63
  6. Step 6: Final answer
    x = 32,479.43

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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.