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Finding the Third Proportional to 27,084 and 39,807

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Solution

The third proportional to 27,084 and 39,807 is: 58,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084 : 39,807 = 39,807 : x
  2. Step 2: Convert to fraction form
    27,084/39,807 = 39,807/x
  3. Step 3: Cross multiply
    27,084x = 39,807 × 39,807
  4. Step 4: Simplify right side
    27,084x = 1,584,597,249
  5. Step 5: Solve for x
    x = 1,584,597,249/27,084
  6. Step 6: Final answer
    x = 58,506.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.