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Finding the Third Proportional to 30,333 and 65,057

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Solution

The third proportional to 30,333 and 65,057 is: 139,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333 : 65,057 = 65,057 : x
  2. Step 2: Convert to fraction form
    30,333/65,057 = 65,057/x
  3. Step 3: Cross multiply
    30,333x = 65,057 × 65,057
  4. Step 4: Simplify right side
    30,333x = 4,232,413,249
  5. Step 5: Solve for x
    x = 4,232,413,249/30,333
  6. Step 6: Final answer
    x = 139,531.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.