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Finding the Third Proportional to 35,318 and 76,468

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Solution

The third proportional to 35,318 and 76,468 is: 165,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,318 : 76,468 = 76,468 : x
  2. Step 2: Convert to fraction form
    35,318/76,468 = 76,468/x
  3. Step 3: Cross multiply
    35,318x = 76,468 × 76,468
  4. Step 4: Simplify right side
    35,318x = 5,847,355,024
  5. Step 5: Solve for x
    x = 5,847,355,024/35,318
  6. Step 6: Final answer
    x = 165,563.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.