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Finding the Third Proportional to 6,804.47 and 14,531.59

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Solution

The third proportional to 6,804.47 and 14,531.59 is: 31,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.47 : 14,531.59 = 14,531.59 : x
  2. Step 2: Convert to fraction form
    6,804.47/14,531.59 = 14,531.59/x
  3. Step 3: Cross multiply
    6,804.47x = 14,531.59 × 14,531.59
  4. Step 4: Simplify right side
    6,804.47x = 211,167,103.39
  5. Step 5: Solve for x
    x = 211,167,103.39/6,804.47
  6. Step 6: Final answer
    x = 31,033.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.