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Finding the Third Proportional to 44,460 and 67,890

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Solution

The third proportional to 44,460 and 67,890 is: 103,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,460 : 67,890 = 67,890 : x
  2. Step 2: Convert to fraction form
    44,460/67,890 = 67,890/x
  3. Step 3: Cross multiply
    44,460x = 67,890 × 67,890
  4. Step 4: Simplify right side
    44,460x = 4,609,052,100
  5. Step 5: Solve for x
    x = 4,609,052,100/44,460
  6. Step 6: Final answer
    x = 103,667.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.