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Finding the Third Proportional to 11,707 and 25,648

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Solution

The third proportional to 11,707 and 25,648 is: 56,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707 : 25,648 = 25,648 : x
  2. Step 2: Convert to fraction form
    11,707/25,648 = 25,648/x
  3. Step 3: Cross multiply
    11,707x = 25,648 × 25,648
  4. Step 4: Simplify right side
    11,707x = 657,819,904
  5. Step 5: Solve for x
    x = 657,819,904/11,707
  6. Step 6: Final answer
    x = 56,190.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.