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Finding the Third Proportional to 9,764 and 15,112

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Solution

The third proportional to 9,764 and 15,112 is: 23,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764 : 15,112 = 15,112 : x
  2. Step 2: Convert to fraction form
    9,764/15,112 = 15,112/x
  3. Step 3: Cross multiply
    9,764x = 15,112 × 15,112
  4. Step 4: Simplify right side
    9,764x = 228,372,544
  5. Step 5: Solve for x
    x = 228,372,544/9,764
  6. Step 6: Final answer
    x = 23,389.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.