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Finding the Third Proportional to 39,384.75 and 59,805

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Solution

The third proportional to 39,384.75 and 59,805 is: 90,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384.75 : 59,805 = 59,805 : x
  2. Step 2: Convert to fraction form
    39,384.75/59,805 = 59,805/x
  3. Step 3: Cross multiply
    39,384.75x = 59,805 × 59,805
  4. Step 4: Simplify right side
    39,384.75x = 3,576,638,025
  5. Step 5: Solve for x
    x = 3,576,638,025/39,384.75
  6. Step 6: Final answer
    x = 90,812.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.