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Finding the Third Proportional to 14,612.48 and 31,479.05

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Solution

The third proportional to 14,612.48 and 31,479.05 is: 67,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.48 : 31,479.05 = 31,479.05 : x
  2. Step 2: Convert to fraction form
    14,612.48/31,479.05 = 31,479.05/x
  3. Step 3: Cross multiply
    14,612.48x = 31,479.05 × 31,479.05
  4. Step 4: Simplify right side
    14,612.48x = 990,930,392.16
  5. Step 5: Solve for x
    x = 990,930,392.16/14,612.48
  6. Step 6: Final answer
    x = 67,813.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.