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Finding the Third Proportional to 39,989 and 92,576.50

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Solution

The third proportional to 39,989 and 92,576.50 is: 214,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989 : 92,576.50 = 92,576.50 : x
  2. Step 2: Convert to fraction form
    39,989/92,576.50 = 92,576.50/x
  3. Step 3: Cross multiply
    39,989x = 92,576.50 × 92,576.50
  4. Step 4: Simplify right side
    39,989x = 8,570,408,352.25
  5. Step 5: Solve for x
    x = 8,570,408,352.25/39,989
  6. Step 6: Final answer
    x = 214,319.15

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.