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Finding the Third Proportional to 34,945 and 75,422

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Solution

The third proportional to 34,945 and 75,422 is: 162,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,945 : 75,422 = 75,422 : x
  2. Step 2: Convert to fraction form
    34,945/75,422 = 75,422/x
  3. Step 3: Cross multiply
    34,945x = 75,422 × 75,422
  4. Step 4: Simplify right side
    34,945x = 5,688,478,084
  5. Step 5: Solve for x
    x = 5,688,478,084/34,945
  6. Step 6: Final answer
    x = 162,783.75

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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.