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Finding the Third Proportional to 14,796 and 19,234.13

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Solution

The third proportional to 14,796 and 19,234.13 is: 25,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796 : 19,234.13 = 19,234.13 : x
  2. Step 2: Convert to fraction form
    14,796/19,234.13 = 19,234.13/x
  3. Step 3: Cross multiply
    14,796x = 19,234.13 × 19,234.13
  4. Step 4: Simplify right side
    14,796x = 369,951,564.52
  5. Step 5: Solve for x
    x = 369,951,564.52/14,796
  6. Step 6: Final answer
    x = 25,003.49

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.