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Finding the Third Proportional to 19,278 and 44,624.44

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Solution

The third proportional to 19,278 and 44,624.44 is: 103,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278 : 44,624.44 = 44,624.44 : x
  2. Step 2: Convert to fraction form
    19,278/44,624.44 = 44,624.44/x
  3. Step 3: Cross multiply
    19,278x = 44,624.44 × 44,624.44
  4. Step 4: Simplify right side
    19,278x = 1,991,340,422.19
  5. Step 5: Solve for x
    x = 1,991,340,422.19/19,278
  6. Step 6: Final answer
    x = 103,296.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.