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Finding the Third Proportional to 12,794.63 and 25,953.75

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Solution

The third proportional to 12,794.63 and 25,953.75 is: 52,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.63 : 25,953.75 = 25,953.75 : x
  2. Step 2: Convert to fraction form
    12,794.63/25,953.75 = 25,953.75/x
  3. Step 3: Cross multiply
    12,794.63x = 25,953.75 × 25,953.75
  4. Step 4: Simplify right side
    12,794.63x = 673,597,139.06
  5. Step 5: Solve for x
    x = 673,597,139.06/12,794.63
  6. Step 6: Final answer
    x = 52,646.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.