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Finding the Third Proportional to 6,130.38 and 13,648.75

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Solution

The third proportional to 6,130.38 and 13,648.75 is: 30,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.38 : 13,648.75 = 13,648.75 : x
  2. Step 2: Convert to fraction form
    6,130.38/13,648.75 = 13,648.75/x
  3. Step 3: Cross multiply
    6,130.38x = 13,648.75 × 13,648.75
  4. Step 4: Simplify right side
    6,130.38x = 186,288,376.56
  5. Step 5: Solve for x
    x = 186,288,376.56/6,130.38
  6. Step 6: Final answer
    x = 30,387.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.