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Finding the Third Proportional to 6,188.25 and 9,575.63

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Solution

The third proportional to 6,188.25 and 9,575.63 is: 14,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.25 : 9,575.63 = 9,575.63 : x
  2. Step 2: Convert to fraction form
    6,188.25/9,575.63 = 9,575.63/x
  3. Step 3: Cross multiply
    6,188.25x = 9,575.63 × 9,575.63
  4. Step 4: Simplify right side
    6,188.25x = 91,692,594.14
  5. Step 5: Solve for x
    x = 91,692,594.14/6,188.25
  6. Step 6: Final answer
    x = 14,817.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.