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Finding the Third Proportional to 18,676 and 25,354

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Solution

The third proportional to 18,676 and 25,354 is: 34,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676 : 25,354 = 25,354 : x
  2. Step 2: Convert to fraction form
    18,676/25,354 = 25,354/x
  3. Step 3: Cross multiply
    18,676x = 25,354 × 25,354
  4. Step 4: Simplify right side
    18,676x = 642,825,316
  5. Step 5: Solve for x
    x = 642,825,316/18,676
  6. Step 6: Final answer
    x = 34,419.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.