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Finding the Third Proportional to 6,814.88 and 9,032.63

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Solution

The third proportional to 6,814.88 and 9,032.63 is: 11,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.88 : 9,032.63 = 9,032.63 : x
  2. Step 2: Convert to fraction form
    6,814.88/9,032.63 = 9,032.63/x
  3. Step 3: Cross multiply
    6,814.88x = 9,032.63 × 9,032.63
  4. Step 4: Simplify right side
    6,814.88x = 81,588,314.39
  5. Step 5: Solve for x
    x = 81,588,314.39/6,814.88
  6. Step 6: Final answer
    x = 11,972.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.