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Finding the Third Proportional to 14,145.47 and 30,827.53

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Solution

The third proportional to 14,145.47 and 30,827.53 is: 67,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.47 : 30,827.53 = 30,827.53 : x
  2. Step 2: Convert to fraction form
    14,145.47/30,827.53 = 30,827.53/x
  3. Step 3: Cross multiply
    14,145.47x = 30,827.53 × 30,827.53
  4. Step 4: Simplify right side
    14,145.47x = 950,336,682.97
  5. Step 5: Solve for x
    x = 950,336,682.97/14,145.47
  6. Step 6: Final answer
    x = 67,183.12

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Why These Related Problems?

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