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Finding the Third Proportional to 14,855 and 31,942

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Solution

The third proportional to 14,855 and 31,942 is: 68,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855 : 31,942 = 31,942 : x
  2. Step 2: Convert to fraction form
    14,855/31,942 = 31,942/x
  3. Step 3: Cross multiply
    14,855x = 31,942 × 31,942
  4. Step 4: Simplify right side
    14,855x = 1,020,291,364
  5. Step 5: Solve for x
    x = 1,020,291,364/14,855
  6. Step 6: Final answer
    x = 68,683.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.