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Finding the Third Proportional to 34,656 and 52,236

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Solution

The third proportional to 34,656 and 52,236 is: 78,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656 : 52,236 = 52,236 : x
  2. Step 2: Convert to fraction form
    34,656/52,236 = 52,236/x
  3. Step 3: Cross multiply
    34,656x = 52,236 × 52,236
  4. Step 4: Simplify right side
    34,656x = 2,728,599,696
  5. Step 5: Solve for x
    x = 2,728,599,696/34,656
  6. Step 6: Final answer
    x = 78,733.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.