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Finding the Third Proportional to 35,235 and 76,011

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Solution

The third proportional to 35,235 and 76,011 is: 163,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,235 : 76,011 = 76,011 : x
  2. Step 2: Convert to fraction form
    35,235/76,011 = 76,011/x
  3. Step 3: Cross multiply
    35,235x = 76,011 × 76,011
  4. Step 4: Simplify right side
    35,235x = 5,777,672,121
  5. Step 5: Solve for x
    x = 5,777,672,121/35,235
  6. Step 6: Final answer
    x = 163,975.37

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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.