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Finding the Third Proportional to 17,531.44 and 46,032.75

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Solution

The third proportional to 17,531.44 and 46,032.75 is: 120,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.44 : 46,032.75 = 46,032.75 : x
  2. Step 2: Convert to fraction form
    17,531.44/46,032.75 = 46,032.75/x
  3. Step 3: Cross multiply
    17,531.44x = 46,032.75 × 46,032.75
  4. Step 4: Simplify right side
    17,531.44x = 2,119,014,072.56
  5. Step 5: Solve for x
    x = 2,119,014,072.56/17,531.44
  6. Step 6: Final answer
    x = 120,869.39

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.