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Finding the Third Proportional to 36,322 and 76,316

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Solution

The third proportional to 36,322 and 76,316 is: 160,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,322 : 76,316 = 76,316 : x
  2. Step 2: Convert to fraction form
    36,322/76,316 = 76,316/x
  3. Step 3: Cross multiply
    36,322x = 76,316 × 76,316
  4. Step 4: Simplify right side
    36,322x = 5,824,131,856
  5. Step 5: Solve for x
    x = 5,824,131,856/36,322
  6. Step 6: Final answer
    x = 160,347.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.