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Finding the Third Proportional to 6,572.50 and 13,982

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Solution

The third proportional to 6,572.50 and 13,982 is: 29,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.50 : 13,982 = 13,982 : x
  2. Step 2: Convert to fraction form
    6,572.50/13,982 = 13,982/x
  3. Step 3: Cross multiply
    6,572.50x = 13,982 × 13,982
  4. Step 4: Simplify right side
    6,572.50x = 195,496,324
  5. Step 5: Solve for x
    x = 195,496,324/6,572.50
  6. Step 6: Final answer
    x = 29,744.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.