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Finding the Third Proportional to 19,045 and 40,925

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Solution

The third proportional to 19,045 and 40,925 is: 87,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045 : 40,925 = 40,925 : x
  2. Step 2: Convert to fraction form
    19,045/40,925 = 40,925/x
  3. Step 3: Cross multiply
    19,045x = 40,925 × 40,925
  4. Step 4: Simplify right side
    19,045x = 1,674,855,625
  5. Step 5: Solve for x
    x = 1,674,855,625/19,045
  6. Step 6: Final answer
    x = 87,942.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.