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Finding the Third Proportional to 35,834 and 55,239

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Solution

The third proportional to 35,834 and 55,239 is: 85,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834 : 55,239 = 55,239 : x
  2. Step 2: Convert to fraction form
    35,834/55,239 = 55,239/x
  3. Step 3: Cross multiply
    35,834x = 55,239 × 55,239
  4. Step 4: Simplify right side
    35,834x = 3,051,347,121
  5. Step 5: Solve for x
    x = 3,051,347,121/35,834
  6. Step 6: Final answer
    x = 85,152.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.