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Finding the Third Proportional to 10,414 and 18,518

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Solution

The third proportional to 10,414 and 18,518 is: 32,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414 : 18,518 = 18,518 : x
  2. Step 2: Convert to fraction form
    10,414/18,518 = 18,518/x
  3. Step 3: Cross multiply
    10,414x = 18,518 × 18,518
  4. Step 4: Simplify right side
    10,414x = 342,916,324
  5. Step 5: Solve for x
    x = 342,916,324/10,414
  6. Step 6: Final answer
    x = 32,928.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.