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Finding the Third Proportional to 12,978 and 28,234.13

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Solution

The third proportional to 12,978 and 28,234.13 is: 61,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978 : 28,234.13 = 28,234.13 : x
  2. Step 2: Convert to fraction form
    12,978/28,234.13 = 28,234.13/x
  3. Step 3: Cross multiply
    12,978x = 28,234.13 × 28,234.13
  4. Step 4: Simplify right side
    12,978x = 797,165,814.52
  5. Step 5: Solve for x
    x = 797,165,814.52/12,978
  6. Step 6: Final answer
    x = 61,424.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.