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Finding the Third Proportional to 2,624.63 and 4,296.38

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Solution

The third proportional to 2,624.63 and 4,296.38 is: 7,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.63 : 4,296.38 = 4,296.38 : x
  2. Step 2: Convert to fraction form
    2,624.63/4,296.38 = 4,296.38/x
  3. Step 3: Cross multiply
    2,624.63x = 4,296.38 × 4,296.38
  4. Step 4: Simplify right side
    2,624.63x = 18,458,838.14
  5. Step 5: Solve for x
    x = 18,458,838.14/2,624.63
  6. Step 6: Final answer
    x = 7,032.94

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.