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Finding the Third Proportional to 6,273.91 and 8,602.93

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Solution

The third proportional to 6,273.91 and 8,602.93 is: 11,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.91 : 8,602.93 = 8,602.93 : x
  2. Step 2: Convert to fraction form
    6,273.91/8,602.93 = 8,602.93/x
  3. Step 3: Cross multiply
    6,273.91x = 8,602.93 × 8,602.93
  4. Step 4: Simplify right side
    6,273.91x = 74,010,365.60
  5. Step 5: Solve for x
    x = 74,010,365.60/6,273.91
  6. Step 6: Final answer
    x = 11,796.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.