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Finding the Third Proportional to 30,108 and 46,886

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Solution

The third proportional to 30,108 and 46,886 is: 73,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108 : 46,886 = 46,886 : x
  2. Step 2: Convert to fraction form
    30,108/46,886 = 46,886/x
  3. Step 3: Cross multiply
    30,108x = 46,886 × 46,886
  4. Step 4: Simplify right side
    30,108x = 2,198,296,996
  5. Step 5: Solve for x
    x = 2,198,296,996/30,108
  6. Step 6: Final answer
    x = 73,013.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.