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Finding the Third Proportional to 19,454 and 29,667

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Solution

The third proportional to 19,454 and 29,667 is: 45,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 29,667 = 29,667 : x
  2. Step 2: Convert to fraction form
    19,454/29,667 = 29,667/x
  3. Step 3: Cross multiply
    19,454x = 29,667 × 29,667
  4. Step 4: Simplify right side
    19,454x = 880,130,889
  5. Step 5: Solve for x
    x = 880,130,889/19,454
  6. Step 6: Final answer
    x = 45,241.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.