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Finding the Third Proportional to 13,405.50 and 31,167

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Solution

The third proportional to 13,405.50 and 31,167 is: 72,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.50 : 31,167 = 31,167 : x
  2. Step 2: Convert to fraction form
    13,405.50/31,167 = 31,167/x
  3. Step 3: Cross multiply
    13,405.50x = 31,167 × 31,167
  4. Step 4: Simplify right side
    13,405.50x = 971,381,889
  5. Step 5: Solve for x
    x = 971,381,889/13,405.50
  6. Step 6: Final answer
    x = 72,461.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.