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Finding the Third Proportional to 5,850.98 and 12,641.70

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Solution

The third proportional to 5,850.98 and 12,641.70 is: 27,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.98 : 12,641.70 = 12,641.70 : x
  2. Step 2: Convert to fraction form
    5,850.98/12,641.70 = 12,641.70/x
  3. Step 3: Cross multiply
    5,850.98x = 12,641.70 × 12,641.70
  4. Step 4: Simplify right side
    5,850.98x = 159,812,460.37
  5. Step 5: Solve for x
    x = 159,812,460.37/5,850.98
  6. Step 6: Final answer
    x = 27,313.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.