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Finding the Third Proportional to 30,795 and 46,366

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Solution

The third proportional to 30,795 and 46,366 is: 69,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795 : 46,366 = 46,366 : x
  2. Step 2: Convert to fraction form
    30,795/46,366 = 46,366/x
  3. Step 3: Cross multiply
    30,795x = 46,366 × 46,366
  4. Step 4: Simplify right side
    30,795x = 2,149,805,956
  5. Step 5: Solve for x
    x = 2,149,805,956/30,795
  6. Step 6: Final answer
    x = 69,810.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.