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Finding the Third Proportional to 14,484 and 19,314

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Solution

The third proportional to 14,484 and 19,314 is: 25,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484 : 19,314 = 19,314 : x
  2. Step 2: Convert to fraction form
    14,484/19,314 = 19,314/x
  3. Step 3: Cross multiply
    14,484x = 19,314 × 19,314
  4. Step 4: Simplify right side
    14,484x = 373,030,596
  5. Step 5: Solve for x
    x = 373,030,596/14,484
  6. Step 6: Final answer
    x = 25,754.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.