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Finding the Third Proportional to 13,703 and 30,100

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Solution

The third proportional to 13,703 and 30,100 is: 66,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703 : 30,100 = 30,100 : x
  2. Step 2: Convert to fraction form
    13,703/30,100 = 30,100/x
  3. Step 3: Cross multiply
    13,703x = 30,100 × 30,100
  4. Step 4: Simplify right side
    13,703x = 906,010,000
  5. Step 5: Solve for x
    x = 906,010,000/13,703
  6. Step 6: Final answer
    x = 66,117.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.