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Finding the Third Proportional to 30,798 and 45,993

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Solution

The third proportional to 30,798 and 45,993 is: 68,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798 : 45,993 = 45,993 : x
  2. Step 2: Convert to fraction form
    30,798/45,993 = 45,993/x
  3. Step 3: Cross multiply
    30,798x = 45,993 × 45,993
  4. Step 4: Simplify right side
    30,798x = 2,115,356,049
  5. Step 5: Solve for x
    x = 2,115,356,049/30,798
  6. Step 6: Final answer
    x = 68,684.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.