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Finding the Third Proportional to 6,472.88 and 14,165.25

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Solution

The third proportional to 6,472.88 and 14,165.25 is: 30,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.88 : 14,165.25 = 14,165.25 : x
  2. Step 2: Convert to fraction form
    6,472.88/14,165.25 = 14,165.25/x
  3. Step 3: Cross multiply
    6,472.88x = 14,165.25 × 14,165.25
  4. Step 4: Simplify right side
    6,472.88x = 200,654,307.56
  5. Step 5: Solve for x
    x = 200,654,307.56/6,472.88
  6. Step 6: Final answer
    x = 30,999.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.