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Finding the Third Proportional to 6,477.47 and 13,370.06

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Solution

The third proportional to 6,477.47 and 13,370.06 is: 27,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.47 : 13,370.06 = 13,370.06 : x
  2. Step 2: Convert to fraction form
    6,477.47/13,370.06 = 13,370.06/x
  3. Step 3: Cross multiply
    6,477.47x = 13,370.06 × 13,370.06
  4. Step 4: Simplify right side
    6,477.47x = 178,758,571.25
  5. Step 5: Solve for x
    x = 178,758,571.25/6,477.47
  6. Step 6: Final answer
    x = 27,596.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.