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Finding the Third Proportional to 14,544 and 23,184

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Solution

The third proportional to 14,544 and 23,184 is: 36,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544 : 23,184 = 23,184 : x
  2. Step 2: Convert to fraction form
    14,544/23,184 = 23,184/x
  3. Step 3: Cross multiply
    14,544x = 23,184 × 23,184
  4. Step 4: Simplify right side
    14,544x = 537,497,856
  5. Step 5: Solve for x
    x = 537,497,856/14,544
  6. Step 6: Final answer
    x = 36,956.67

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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.