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Finding the Third Proportional to 5,246 and 10,846

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Solution

The third proportional to 5,246 and 10,846 is: 22,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246 : 10,846 = 10,846 : x
  2. Step 2: Convert to fraction form
    5,246/10,846 = 10,846/x
  3. Step 3: Cross multiply
    5,246x = 10,846 × 10,846
  4. Step 4: Simplify right side
    5,246x = 117,635,716
  5. Step 5: Solve for x
    x = 117,635,716/5,246
  6. Step 6: Final answer
    x = 22,423.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.