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Finding the Third Proportional to 30,690 and 47,391.75

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Solution

The third proportional to 30,690 and 47,391.75 is: 73,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690 : 47,391.75 = 47,391.75 : x
  2. Step 2: Convert to fraction form
    30,690/47,391.75 = 47,391.75/x
  3. Step 3: Cross multiply
    30,690x = 47,391.75 × 47,391.75
  4. Step 4: Simplify right side
    30,690x = 2,245,977,968.06
  5. Step 5: Solve for x
    x = 2,245,977,968.06/30,690
  6. Step 6: Final answer
    x = 73,182.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.