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Finding the Third Proportional to 35,738 and 68,236

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Solution

The third proportional to 35,738 and 68,236 is: 130,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738 : 68,236 = 68,236 : x
  2. Step 2: Convert to fraction form
    35,738/68,236 = 68,236/x
  3. Step 3: Cross multiply
    35,738x = 68,236 × 68,236
  4. Step 4: Simplify right side
    35,738x = 4,656,151,696
  5. Step 5: Solve for x
    x = 4,656,151,696/35,738
  6. Step 6: Final answer
    x = 130,285.74

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.