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Finding the Third Proportional to 38,576.25 and 59,697

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Solution

The third proportional to 38,576.25 and 59,697 is: 92,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.25 : 59,697 = 59,697 : x
  2. Step 2: Convert to fraction form
    38,576.25/59,697 = 59,697/x
  3. Step 3: Cross multiply
    38,576.25x = 59,697 × 59,697
  4. Step 4: Simplify right side
    38,576.25x = 3,563,731,809
  5. Step 5: Solve for x
    x = 3,563,731,809/38,576.25
  6. Step 6: Final answer
    x = 92,381.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.