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Finding the Third Proportional to 6,270.54 and 9,559.58

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Solution

The third proportional to 6,270.54 and 9,559.58 is: 14,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.54 : 9,559.58 = 9,559.58 : x
  2. Step 2: Convert to fraction form
    6,270.54/9,559.58 = 9,559.58/x
  3. Step 3: Cross multiply
    6,270.54x = 9,559.58 × 9,559.58
  4. Step 4: Simplify right side
    6,270.54x = 91,385,608.61
  5. Step 5: Solve for x
    x = 91,385,608.61/6,270.54
  6. Step 6: Final answer
    x = 14,573.80

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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.