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Finding the Third Proportional to 48,333 and 72,797

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Solution

The third proportional to 48,333 and 72,797 is: 109,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,333 : 72,797 = 72,797 : x
  2. Step 2: Convert to fraction form
    48,333/72,797 = 72,797/x
  3. Step 3: Cross multiply
    48,333x = 72,797 × 72,797
  4. Step 4: Simplify right side
    48,333x = 5,299,403,209
  5. Step 5: Solve for x
    x = 5,299,403,209/48,333
  6. Step 6: Final answer
    x = 109,643.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.