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Finding the Third Proportional to 2,853.35 and 6,225.93

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Solution

The third proportional to 2,853.35 and 6,225.93 is: 13,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.35 : 6,225.93 = 6,225.93 : x
  2. Step 2: Convert to fraction form
    2,853.35/6,225.93 = 6,225.93/x
  3. Step 3: Cross multiply
    2,853.35x = 6,225.93 × 6,225.93
  4. Step 4: Simplify right side
    2,853.35x = 38,762,151.83
  5. Step 5: Solve for x
    x = 38,762,151.83/2,853.35
  6. Step 6: Final answer
    x = 13,584.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.