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Finding the Third Proportional to 19,406 and 29,968

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Solution

The third proportional to 19,406 and 29,968 is: 46,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406 : 29,968 = 29,968 : x
  2. Step 2: Convert to fraction form
    19,406/29,968 = 29,968/x
  3. Step 3: Cross multiply
    19,406x = 29,968 × 29,968
  4. Step 4: Simplify right side
    19,406x = 898,081,024
  5. Step 5: Solve for x
    x = 898,081,024/19,406
  6. Step 6: Final answer
    x = 46,278.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.