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Finding the Third Proportional to 2,348.44 and 5,162.63

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Solution

The third proportional to 2,348.44 and 5,162.63 is: 11,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.44 : 5,162.63 = 5,162.63 : x
  2. Step 2: Convert to fraction form
    2,348.44/5,162.63 = 5,162.63/x
  3. Step 3: Cross multiply
    2,348.44x = 5,162.63 × 5,162.63
  4. Step 4: Simplify right side
    2,348.44x = 26,652,696.89
  5. Step 5: Solve for x
    x = 26,652,696.89/2,348.44
  6. Step 6: Final answer
    x = 11,349.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.