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Finding the Third Proportional to 2,348.58 and 5,137.17

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Solution

The third proportional to 2,348.58 and 5,137.17 is: 11,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.58 : 5,137.17 = 5,137.17 : x
  2. Step 2: Convert to fraction form
    2,348.58/5,137.17 = 5,137.17/x
  3. Step 3: Cross multiply
    2,348.58x = 5,137.17 × 5,137.17
  4. Step 4: Simplify right side
    2,348.58x = 26,390,534.87
  5. Step 5: Solve for x
    x = 26,390,534.87/2,348.58
  6. Step 6: Final answer
    x = 11,236.81

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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.