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Finding the Third Proportional to 12,927.09 and 19,766.53

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Solution

The third proportional to 12,927.09 and 19,766.53 is: 30,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.09 : 19,766.53 = 19,766.53 : x
  2. Step 2: Convert to fraction form
    12,927.09/19,766.53 = 19,766.53/x
  3. Step 3: Cross multiply
    12,927.09x = 19,766.53 × 19,766.53
  4. Step 4: Simplify right side
    12,927.09x = 390,715,757.66
  5. Step 5: Solve for x
    x = 390,715,757.66/12,927.09
  6. Step 6: Final answer
    x = 30,224.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.