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Finding the Third Proportional to 14,173.50 and 31,143

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Solution

The third proportional to 14,173.50 and 31,143 is: 68,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.50 : 31,143 = 31,143 : x
  2. Step 2: Convert to fraction form
    14,173.50/31,143 = 31,143/x
  3. Step 3: Cross multiply
    14,173.50x = 31,143 × 31,143
  4. Step 4: Simplify right side
    14,173.50x = 969,886,449
  5. Step 5: Solve for x
    x = 969,886,449/14,173.50
  6. Step 6: Final answer
    x = 68,429.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.