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Finding the Third Proportional to 6,128 and 13,300

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Solution

The third proportional to 6,128 and 13,300 is: 28,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128 : 13,300 = 13,300 : x
  2. Step 2: Convert to fraction form
    6,128/13,300 = 13,300/x
  3. Step 3: Cross multiply
    6,128x = 13,300 × 13,300
  4. Step 4: Simplify right side
    6,128x = 176,890,000
  5. Step 5: Solve for x
    x = 176,890,000/6,128
  6. Step 6: Final answer
    x = 28,865.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.