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Finding the Third Proportional to 30,447.14 and 45,625.15

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Solution

The third proportional to 30,447.14 and 45,625.15 is: 68,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.14 : 45,625.15 = 45,625.15 : x
  2. Step 2: Convert to fraction form
    30,447.14/45,625.15 = 45,625.15/x
  3. Step 3: Cross multiply
    30,447.14x = 45,625.15 × 45,625.15
  4. Step 4: Simplify right side
    30,447.14x = 2,081,654,169.94
  5. Step 5: Solve for x
    x = 2,081,654,169.94/30,447.14
  6. Step 6: Final answer
    x = 68,369.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.