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Finding the Third Proportional to 2,425.85 and 4,953.80

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Solution

The third proportional to 2,425.85 and 4,953.80 is: 10,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.85 : 4,953.80 = 4,953.80 : x
  2. Step 2: Convert to fraction form
    2,425.85/4,953.80 = 4,953.80/x
  3. Step 3: Cross multiply
    2,425.85x = 4,953.80 × 4,953.80
  4. Step 4: Simplify right side
    2,425.85x = 24,540,103.48
  5. Step 5: Solve for x
    x = 24,540,103.48/2,425.85
  6. Step 6: Final answer
    x = 10,116.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.