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Finding the Third Proportional to 19,454 and 30,181

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Solution

The third proportional to 19,454 and 30,181 is: 46,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 30,181 = 30,181 : x
  2. Step 2: Convert to fraction form
    19,454/30,181 = 30,181/x
  3. Step 3: Cross multiply
    19,454x = 30,181 × 30,181
  4. Step 4: Simplify right side
    19,454x = 910,892,761
  5. Step 5: Solve for x
    x = 910,892,761/19,454
  6. Step 6: Final answer
    x = 46,822.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.