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Finding the Third Proportional to 5,596 and 13,708

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Solution

The third proportional to 5,596 and 13,708 is: 33,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596 : 13,708 = 13,708 : x
  2. Step 2: Convert to fraction form
    5,596/13,708 = 13,708/x
  3. Step 3: Cross multiply
    5,596x = 13,708 × 13,708
  4. Step 4: Simplify right side
    5,596x = 187,909,264
  5. Step 5: Solve for x
    x = 187,909,264/5,596
  6. Step 6: Final answer
    x = 33,579.21

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.