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Finding the Third Proportional to 30,242 and 65,884

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Solution

The third proportional to 30,242 and 65,884 is: 143,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242 : 65,884 = 65,884 : x
  2. Step 2: Convert to fraction form
    30,242/65,884 = 65,884/x
  3. Step 3: Cross multiply
    30,242x = 65,884 × 65,884
  4. Step 4: Simplify right side
    30,242x = 4,340,701,456
  5. Step 5: Solve for x
    x = 4,340,701,456/30,242
  6. Step 6: Final answer
    x = 143,532.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.