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Finding the Third Proportional to 11,708 and 24,904

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Solution

The third proportional to 11,708 and 24,904 is: 52,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708 : 24,904 = 24,904 : x
  2. Step 2: Convert to fraction form
    11,708/24,904 = 24,904/x
  3. Step 3: Cross multiply
    11,708x = 24,904 × 24,904
  4. Step 4: Simplify right side
    11,708x = 620,209,216
  5. Step 5: Solve for x
    x = 620,209,216/11,708
  6. Step 6: Final answer
    x = 52,973.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.