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Finding the Third Proportional to 35,868 and 70,818

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Solution

The third proportional to 35,868 and 70,818 is: 139,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,868 : 70,818 = 70,818 : x
  2. Step 2: Convert to fraction form
    35,868/70,818 = 70,818/x
  3. Step 3: Cross multiply
    35,868x = 70,818 × 70,818
  4. Step 4: Simplify right side
    35,868x = 5,015,189,124
  5. Step 5: Solve for x
    x = 5,015,189,124/35,868
  6. Step 6: Final answer
    x = 139,823.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.