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Finding the Third Proportional to 6,177.38 and 13,325.63

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Solution

The third proportional to 6,177.38 and 13,325.63 is: 28,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.38 : 13,325.63 = 13,325.63 : x
  2. Step 2: Convert to fraction form
    6,177.38/13,325.63 = 13,325.63/x
  3. Step 3: Cross multiply
    6,177.38x = 13,325.63 × 13,325.63
  4. Step 4: Simplify right side
    6,177.38x = 177,572,281.64
  5. Step 5: Solve for x
    x = 177,572,281.64/6,177.38
  6. Step 6: Final answer
    x = 28,745.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.