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Finding the Third Proportional to 11,728 and 25,700

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Solution

The third proportional to 11,728 and 25,700 is: 56,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728 : 25,700 = 25,700 : x
  2. Step 2: Convert to fraction form
    11,728/25,700 = 25,700/x
  3. Step 3: Cross multiply
    11,728x = 25,700 × 25,700
  4. Step 4: Simplify right side
    11,728x = 660,490,000
  5. Step 5: Solve for x
    x = 660,490,000/11,728
  6. Step 6: Final answer
    x = 56,317.36

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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.