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Finding the Third Proportional to 12,096.84 and 25,218.84

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Solution

The third proportional to 12,096.84 and 25,218.84 is: 52,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.84 : 25,218.84 = 25,218.84 : x
  2. Step 2: Convert to fraction form
    12,096.84/25,218.84 = 25,218.84/x
  3. Step 3: Cross multiply
    12,096.84x = 25,218.84 × 25,218.84
  4. Step 4: Simplify right side
    12,096.84x = 635,990,080.09
  5. Step 5: Solve for x
    x = 635,990,080.09/12,096.84
  6. Step 6: Final answer
    x = 52,574.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.