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Finding the Third Proportional to 35,244 and 75,989

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Solution

The third proportional to 35,244 and 75,989 is: 163,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,244 : 75,989 = 75,989 : x
  2. Step 2: Convert to fraction form
    35,244/75,989 = 75,989/x
  3. Step 3: Cross multiply
    35,244x = 75,989 × 75,989
  4. Step 4: Simplify right side
    35,244x = 5,774,328,121
  5. Step 5: Solve for x
    x = 5,774,328,121/35,244
  6. Step 6: Final answer
    x = 163,838.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.