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Finding the Third Proportional to 30,099 and 46,797

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Solution

The third proportional to 30,099 and 46,797 is: 72,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099 : 46,797 = 46,797 : x
  2. Step 2: Convert to fraction form
    30,099/46,797 = 46,797/x
  3. Step 3: Cross multiply
    30,099x = 46,797 × 46,797
  4. Step 4: Simplify right side
    30,099x = 2,189,959,209
  5. Step 5: Solve for x
    x = 2,189,959,209/30,099
  6. Step 6: Final answer
    x = 72,758.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.