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Finding the Third Proportional to 34,024 and 73,316

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Solution

The third proportional to 34,024 and 73,316 is: 157,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024 : 73,316 = 73,316 : x
  2. Step 2: Convert to fraction form
    34,024/73,316 = 73,316/x
  3. Step 3: Cross multiply
    34,024x = 73,316 × 73,316
  4. Step 4: Simplify right side
    34,024x = 5,375,235,856
  5. Step 5: Solve for x
    x = 5,375,235,856/34,024
  6. Step 6: Final answer
    x = 157,983.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.