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Finding the Third Proportional to 6,542.81 and 14,171.06

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Solution

The third proportional to 6,542.81 and 14,171.06 is: 30,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.81 : 14,171.06 = 14,171.06 : x
  2. Step 2: Convert to fraction form
    6,542.81/14,171.06 = 14,171.06/x
  3. Step 3: Cross multiply
    6,542.81x = 14,171.06 × 14,171.06
  4. Step 4: Simplify right side
    6,542.81x = 200,819,012.38
  5. Step 5: Solve for x
    x = 200,819,012.38/6,542.81
  6. Step 6: Final answer
    x = 30,693.07

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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.