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Finding the Third Proportional to 9,127.69 and 14,902.31

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Solution

The third proportional to 9,127.69 and 14,902.31 is: 24,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.69 : 14,902.31 = 14,902.31 : x
  2. Step 2: Convert to fraction form
    9,127.69/14,902.31 = 14,902.31/x
  3. Step 3: Cross multiply
    9,127.69x = 14,902.31 × 14,902.31
  4. Step 4: Simplify right side
    9,127.69x = 222,078,917.85
  5. Step 5: Solve for x
    x = 222,078,917.85/9,127.69
  6. Step 6: Final answer
    x = 24,330.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.