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Finding the Third Proportional to 14,025.94 and 30,280.97

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Solution

The third proportional to 14,025.94 and 30,280.97 is: 65,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.94 : 30,280.97 = 30,280.97 : x
  2. Step 2: Convert to fraction form
    14,025.94/30,280.97 = 30,280.97/x
  3. Step 3: Cross multiply
    14,025.94x = 30,280.97 × 30,280.97
  4. Step 4: Simplify right side
    14,025.94x = 916,937,068.44
  5. Step 5: Solve for x
    x = 916,937,068.44/14,025.94
  6. Step 6: Final answer
    x = 65,374.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.