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Finding the Third Proportional to 6,542.02 and 14,006.67

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Solution

The third proportional to 6,542.02 and 14,006.67 is: 29,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.02 : 14,006.67 = 14,006.67 : x
  2. Step 2: Convert to fraction form
    6,542.02/14,006.67 = 14,006.67/x
  3. Step 3: Cross multiply
    6,542.02x = 14,006.67 × 14,006.67
  4. Step 4: Simplify right side
    6,542.02x = 196,186,857.01
  5. Step 5: Solve for x
    x = 196,186,857.01/6,542.02
  6. Step 6: Final answer
    x = 29,988.75

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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.