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Finding the Third Proportional to 14,257.13 and 31,136.63

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Solution

The third proportional to 14,257.13 and 31,136.63 is: 68,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.13 : 31,136.63 = 31,136.63 : x
  2. Step 2: Convert to fraction form
    14,257.13/31,136.63 = 31,136.63/x
  3. Step 3: Cross multiply
    14,257.13x = 31,136.63 × 31,136.63
  4. Step 4: Simplify right side
    14,257.13x = 969,489,416.39
  5. Step 5: Solve for x
    x = 969,489,416.39/14,257.13
  6. Step 6: Final answer
    x = 68,000.34

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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.