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Finding the Third Proportional to 14,143.50 and 29,449.13

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Solution

The third proportional to 14,143.50 and 29,449.13 is: 61,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.50 : 29,449.13 = 29,449.13 : x
  2. Step 2: Convert to fraction form
    14,143.50/29,449.13 = 29,449.13/x
  3. Step 3: Cross multiply
    14,143.50x = 29,449.13 × 29,449.13
  4. Step 4: Simplify right side
    14,143.50x = 867,250,963.27
  5. Step 5: Solve for x
    x = 867,250,963.27/14,143.50
  6. Step 6: Final answer
    x = 61,317.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.