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Finding the Third Proportional to 30,346 and 65,997

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Solution

The third proportional to 30,346 and 65,997 is: 143,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346 : 65,997 = 65,997 : x
  2. Step 2: Convert to fraction form
    30,346/65,997 = 65,997/x
  3. Step 3: Cross multiply
    30,346x = 65,997 × 65,997
  4. Step 4: Simplify right side
    30,346x = 4,355,604,009
  5. Step 5: Solve for x
    x = 4,355,604,009/30,346
  6. Step 6: Final answer
    x = 143,531.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.