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Finding the Third Proportional to 14,316 and 20,649

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Solution

The third proportional to 14,316 and 20,649 is: 29,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316 : 20,649 = 20,649 : x
  2. Step 2: Convert to fraction form
    14,316/20,649 = 20,649/x
  3. Step 3: Cross multiply
    14,316x = 20,649 × 20,649
  4. Step 4: Simplify right side
    14,316x = 426,381,201
  5. Step 5: Solve for x
    x = 426,381,201/14,316
  6. Step 6: Final answer
    x = 29,783.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.