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Finding the Third Proportional to 29,112 and 46,443.75

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Solution

The third proportional to 29,112 and 46,443.75 is: 74,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112 : 46,443.75 = 46,443.75 : x
  2. Step 2: Convert to fraction form
    29,112/46,443.75 = 46,443.75/x
  3. Step 3: Cross multiply
    29,112x = 46,443.75 × 46,443.75
  4. Step 4: Simplify right side
    29,112x = 2,157,021,914.06
  5. Step 5: Solve for x
    x = 2,157,021,914.06/29,112
  6. Step 6: Final answer
    x = 74,093.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.