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Finding the Third Proportional to 6,128.16 and 13,228.31

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Solution

The third proportional to 6,128.16 and 13,228.31 is: 28,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.16 : 13,228.31 = 13,228.31 : x
  2. Step 2: Convert to fraction form
    6,128.16/13,228.31 = 13,228.31/x
  3. Step 3: Cross multiply
    6,128.16x = 13,228.31 × 13,228.31
  4. Step 4: Simplify right side
    6,128.16x = 174,988,251.60
  5. Step 5: Solve for x
    x = 174,988,251.60/6,128.16
  6. Step 6: Final answer
    x = 28,554.80

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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.