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Finding the Third Proportional to 46,667 and 70,865

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Solution

The third proportional to 46,667 and 70,865 is: 107,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,667 : 70,865 = 70,865 : x
  2. Step 2: Convert to fraction form
    46,667/70,865 = 70,865/x
  3. Step 3: Cross multiply
    46,667x = 70,865 × 70,865
  4. Step 4: Simplify right side
    46,667x = 5,021,848,225
  5. Step 5: Solve for x
    x = 5,021,848,225/46,667
  6. Step 6: Final answer
    x = 107,610.26

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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.