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Finding the Third Proportional to 37,911 and 58,324.50

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Solution

The third proportional to 37,911 and 58,324.50 is: 89,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,911 : 58,324.50 = 58,324.50 : x
  2. Step 2: Convert to fraction form
    37,911/58,324.50 = 58,324.50/x
  3. Step 3: Cross multiply
    37,911x = 58,324.50 × 58,324.50
  4. Step 4: Simplify right side
    37,911x = 3,401,747,300.25
  5. Step 5: Solve for x
    x = 3,401,747,300.25/37,911
  6. Step 6: Final answer
    x = 89,729.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.