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Finding the Third Proportional to 6,525 and 13,973.25

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Solution

The third proportional to 6,525 and 13,973.25 is: 29,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525 : 13,973.25 = 13,973.25 : x
  2. Step 2: Convert to fraction form
    6,525/13,973.25 = 13,973.25/x
  3. Step 3: Cross multiply
    6,525x = 13,973.25 × 13,973.25
  4. Step 4: Simplify right side
    6,525x = 195,251,715.56
  5. Step 5: Solve for x
    x = 195,251,715.56/6,525
  6. Step 6: Final answer
    x = 29,923.63

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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.