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Finding the Third Proportional to 12,556.27 and 19,523.53

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Solution

The third proportional to 12,556.27 and 19,523.53 is: 30,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.27 : 19,523.53 = 19,523.53 : x
  2. Step 2: Convert to fraction form
    12,556.27/19,523.53 = 19,523.53/x
  3. Step 3: Cross multiply
    12,556.27x = 19,523.53 × 19,523.53
  4. Step 4: Simplify right side
    12,556.27x = 381,168,272.47
  5. Step 5: Solve for x
    x = 381,168,272.47/12,556.27
  6. Step 6: Final answer
    x = 30,356.82

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