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Finding the Third Proportional to 29,678 and 46,219

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Solution

The third proportional to 29,678 and 46,219 is: 71,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678 : 46,219 = 46,219 : x
  2. Step 2: Convert to fraction form
    29,678/46,219 = 46,219/x
  3. Step 3: Cross multiply
    29,678x = 46,219 × 46,219
  4. Step 4: Simplify right side
    29,678x = 2,136,195,961
  5. Step 5: Solve for x
    x = 2,136,195,961/29,678
  6. Step 6: Final answer
    x = 71,979.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.