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Finding the Third Proportional to 14,204.50 and 31,001

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Solution

The third proportional to 14,204.50 and 31,001 is: 67,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.50 : 31,001 = 31,001 : x
  2. Step 2: Convert to fraction form
    14,204.50/31,001 = 31,001/x
  3. Step 3: Cross multiply
    14,204.50x = 31,001 × 31,001
  4. Step 4: Simplify right side
    14,204.50x = 961,062,001
  5. Step 5: Solve for x
    x = 961,062,001/14,204.50
  6. Step 6: Final answer
    x = 67,658.98

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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.