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Finding the Third Proportional to 14,242 and 31,178

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Solution

The third proportional to 14,242 and 31,178 is: 68,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242 : 31,178 = 31,178 : x
  2. Step 2: Convert to fraction form
    14,242/31,178 = 31,178/x
  3. Step 3: Cross multiply
    14,242x = 31,178 × 31,178
  4. Step 4: Simplify right side
    14,242x = 972,067,684
  5. Step 5: Solve for x
    x = 972,067,684/14,242
  6. Step 6: Final answer
    x = 68,253.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.