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Finding the Third Proportional to 34,492 and 53,868

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Solution

The third proportional to 34,492 and 53,868 is: 84,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492 : 53,868 = 53,868 : x
  2. Step 2: Convert to fraction form
    34,492/53,868 = 53,868/x
  3. Step 3: Cross multiply
    34,492x = 53,868 × 53,868
  4. Step 4: Simplify right side
    34,492x = 2,901,761,424
  5. Step 5: Solve for x
    x = 2,901,761,424/34,492
  6. Step 6: Final answer
    x = 84,128.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.