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Finding the Third Proportional to 30,321.75 and 46,094.63

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Solution

The third proportional to 30,321.75 and 46,094.63 is: 70,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.75 : 46,094.63 = 46,094.63 : x
  2. Step 2: Convert to fraction form
    30,321.75/46,094.63 = 46,094.63/x
  3. Step 3: Cross multiply
    30,321.75x = 46,094.63 × 46,094.63
  4. Step 4: Simplify right side
    30,321.75x = 2,124,714,453.89
  5. Step 5: Solve for x
    x = 2,124,714,453.89/30,321.75
  6. Step 6: Final answer
    x = 70,072.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.