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Finding the Third Proportional to 6,566.44 and 9,971.25

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Solution

The third proportional to 6,566.44 and 9,971.25 is: 15,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.44 : 9,971.25 = 9,971.25 : x
  2. Step 2: Convert to fraction form
    6,566.44/9,971.25 = 9,971.25/x
  3. Step 3: Cross multiply
    6,566.44x = 9,971.25 × 9,971.25
  4. Step 4: Simplify right side
    6,566.44x = 99,425,826.56
  5. Step 5: Solve for x
    x = 99,425,826.56/6,566.44
  6. Step 6: Final answer
    x = 15,141.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.