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Finding the Third Proportional to 11,708 and 25,498

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Solution

The third proportional to 11,708 and 25,498 is: 55,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708 : 25,498 = 25,498 : x
  2. Step 2: Convert to fraction form
    11,708/25,498 = 25,498/x
  3. Step 3: Cross multiply
    11,708x = 25,498 × 25,498
  4. Step 4: Simplify right side
    11,708x = 650,148,004
  5. Step 5: Solve for x
    x = 650,148,004/11,708
  6. Step 6: Final answer
    x = 55,530.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.