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Finding the Third Proportional to 14,310 and 31,181

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Solution

The third proportional to 14,310 and 31,181 is: 67,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 31,181 = 31,181 : x
  2. Step 2: Convert to fraction form
    14,310/31,181 = 31,181/x
  3. Step 3: Cross multiply
    14,310x = 31,181 × 31,181
  4. Step 4: Simplify right side
    14,310x = 972,254,761
  5. Step 5: Solve for x
    x = 972,254,761/14,310
  6. Step 6: Final answer
    x = 67,942.33

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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.