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Finding the Third Proportional to 2,998.58 and 6,573.81

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Solution

The third proportional to 2,998.58 and 6,573.81 is: 14,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.58 : 6,573.81 = 6,573.81 : x
  2. Step 2: Convert to fraction form
    2,998.58/6,573.81 = 6,573.81/x
  3. Step 3: Cross multiply
    2,998.58x = 6,573.81 × 6,573.81
  4. Step 4: Simplify right side
    2,998.58x = 43,215,036.46
  5. Step 5: Solve for x
    x = 43,215,036.46/2,998.58
  6. Step 6: Final answer
    x = 14,411.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.