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Finding the Third Proportional to 11,670 and 18,560.25

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Solution

The third proportional to 11,670 and 18,560.25 is: 29,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 18,560.25 = 18,560.25 : x
  2. Step 2: Convert to fraction form
    11,670/18,560.25 = 18,560.25/x
  3. Step 3: Cross multiply
    11,670x = 18,560.25 × 18,560.25
  4. Step 4: Simplify right side
    11,670x = 344,482,880.06
  5. Step 5: Solve for x
    x = 344,482,880.06/11,670
  6. Step 6: Final answer
    x = 29,518.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.