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Finding the Third Proportional to 7,828 and 12,246

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Solution

The third proportional to 7,828 and 12,246 is: 19,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828 : 12,246 = 12,246 : x
  2. Step 2: Convert to fraction form
    7,828/12,246 = 12,246/x
  3. Step 3: Cross multiply
    7,828x = 12,246 × 12,246
  4. Step 4: Simplify right side
    7,828x = 149,964,516
  5. Step 5: Solve for x
    x = 149,964,516/7,828
  6. Step 6: Final answer
    x = 19,157.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.