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Finding the Third Proportional to 19,954 and 30,365

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Solution

The third proportional to 19,954 and 30,365 is: 46,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954 : 30,365 = 30,365 : x
  2. Step 2: Convert to fraction form
    19,954/30,365 = 30,365/x
  3. Step 3: Cross multiply
    19,954x = 30,365 × 30,365
  4. Step 4: Simplify right side
    19,954x = 922,033,225
  5. Step 5: Solve for x
    x = 922,033,225/19,954
  6. Step 6: Final answer
    x = 46,207.94

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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.