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Finding the Third Proportional to 30,625 and 45,937

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Solution

The third proportional to 30,625 and 45,937 is: 68,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625 : 45,937 = 45,937 : x
  2. Step 2: Convert to fraction form
    30,625/45,937 = 45,937/x
  3. Step 3: Cross multiply
    30,625x = 45,937 × 45,937
  4. Step 4: Simplify right side
    30,625x = 2,110,207,969
  5. Step 5: Solve for x
    x = 2,110,207,969/30,625
  6. Step 6: Final answer
    x = 68,904.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.