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Finding the Third Proportional to 19,199.25 and 44,474.63

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Solution

The third proportional to 19,199.25 and 44,474.63 is: 103,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,199.25 : 44,474.63 = 44,474.63 : x
  2. Step 2: Convert to fraction form
    19,199.25/44,474.63 = 44,474.63/x
  3. Step 3: Cross multiply
    19,199.25x = 44,474.63 × 44,474.63
  4. Step 4: Simplify right side
    19,199.25x = 1,977,992,268.89
  5. Step 5: Solve for x
    x = 1,977,992,268.89/19,199.25
  6. Step 6: Final answer
    x = 103,024.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.