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Finding the Third Proportional to 10,494 and 16,246

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Solution

The third proportional to 10,494 and 16,246 is: 25,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 16,246 = 16,246 : x
  2. Step 2: Convert to fraction form
    10,494/16,246 = 16,246/x
  3. Step 3: Cross multiply
    10,494x = 16,246 × 16,246
  4. Step 4: Simplify right side
    10,494x = 263,932,516
  5. Step 5: Solve for x
    x = 263,932,516/10,494
  6. Step 6: Final answer
    x = 25,150.80

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1.5x scale

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.