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Finding the Third Proportional to 10,278 and 16,143

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Solution

The third proportional to 10,278 and 16,143 is: 25,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 16,143 = 16,143 : x
  2. Step 2: Convert to fraction form
    10,278/16,143 = 16,143/x
  3. Step 3: Cross multiply
    10,278x = 16,143 × 16,143
  4. Step 4: Simplify right side
    10,278x = 260,596,449
  5. Step 5: Solve for x
    x = 260,596,449/10,278
  6. Step 6: Final answer
    x = 25,354.78

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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.