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Finding the Third Proportional to 6,199.31 and 9,572.63

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Solution

The third proportional to 6,199.31 and 9,572.63 is: 14,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.31 : 9,572.63 = 9,572.63 : x
  2. Step 2: Convert to fraction form
    6,199.31/9,572.63 = 9,572.63/x
  3. Step 3: Cross multiply
    6,199.31x = 9,572.63 × 9,572.63
  4. Step 4: Simplify right side
    6,199.31x = 91,635,149.39
  5. Step 5: Solve for x
    x = 91,635,149.39/6,199.31
  6. Step 6: Final answer
    x = 14,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.