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Finding the Third Proportional to 10,674 and 23,177

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Solution

The third proportional to 10,674 and 23,177 is: 50,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 23,177 = 23,177 : x
  2. Step 2: Convert to fraction form
    10,674/23,177 = 23,177/x
  3. Step 3: Cross multiply
    10,674x = 23,177 × 23,177
  4. Step 4: Simplify right side
    10,674x = 537,173,329
  5. Step 5: Solve for x
    x = 537,173,329/10,674
  6. Step 6: Final answer
    x = 50,325.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.