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Finding the Third Proportional to 30,256 and 44,411

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Solution

The third proportional to 30,256 and 44,411 is: 65,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256 : 44,411 = 44,411 : x
  2. Step 2: Convert to fraction form
    30,256/44,411 = 44,411/x
  3. Step 3: Cross multiply
    30,256x = 44,411 × 44,411
  4. Step 4: Simplify right side
    30,256x = 1,972,336,921
  5. Step 5: Solve for x
    x = 1,972,336,921/30,256
  6. Step 6: Final answer
    x = 65,188.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.