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Finding the Third Proportional to 7,794 and 13,518

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Solution

The third proportional to 7,794 and 13,518 is: 23,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794 : 13,518 = 13,518 : x
  2. Step 2: Convert to fraction form
    7,794/13,518 = 13,518/x
  3. Step 3: Cross multiply
    7,794x = 13,518 × 13,518
  4. Step 4: Simplify right side
    7,794x = 182,736,324
  5. Step 5: Solve for x
    x = 182,736,324/7,794
  6. Step 6: Final answer
    x = 23,445.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.