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Finding the Third Proportional to 11,670.75 and 18,356.63

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Solution

The third proportional to 11,670.75 and 18,356.63 is: 28,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.75 : 18,356.63 = 18,356.63 : x
  2. Step 2: Convert to fraction form
    11,670.75/18,356.63 = 18,356.63/x
  3. Step 3: Cross multiply
    11,670.75x = 18,356.63 × 18,356.63
  4. Step 4: Simplify right side
    11,670.75x = 336,965,681.39
  5. Step 5: Solve for x
    x = 336,965,681.39/11,670.75
  6. Step 6: Final answer
    x = 28,872.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.