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Finding the Third Proportional to 2,898.56 and 6,330.94

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Solution

The third proportional to 2,898.56 and 6,330.94 is: 13,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.56 : 6,330.94 = 6,330.94 : x
  2. Step 2: Convert to fraction form
    2,898.56/6,330.94 = 6,330.94/x
  3. Step 3: Cross multiply
    2,898.56x = 6,330.94 × 6,330.94
  4. Step 4: Simplify right side
    2,898.56x = 40,080,769.63
  5. Step 5: Solve for x
    x = 40,080,769.63/2,898.56
  6. Step 6: Final answer
    x = 13,827.81

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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.