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Finding the Third Proportional to 5,708 and 13,102

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Solution

The third proportional to 5,708 and 13,102 is: 30,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708 : 13,102 = 13,102 : x
  2. Step 2: Convert to fraction form
    5,708/13,102 = 13,102/x
  3. Step 3: Cross multiply
    5,708x = 13,102 × 13,102
  4. Step 4: Simplify right side
    5,708x = 171,662,404
  5. Step 5: Solve for x
    x = 171,662,404/5,708
  6. Step 6: Final answer
    x = 30,074.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.