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Finding the Third Proportional to 10,451 and 14,178

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Solution

The third proportional to 10,451 and 14,178 is: 19,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451 : 14,178 = 14,178 : x
  2. Step 2: Convert to fraction form
    10,451/14,178 = 14,178/x
  3. Step 3: Cross multiply
    10,451x = 14,178 × 14,178
  4. Step 4: Simplify right side
    10,451x = 201,015,684
  5. Step 5: Solve for x
    x = 201,015,684/10,451
  6. Step 6: Final answer
    x = 19,234.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.