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Finding the Third Proportional to 10,026 and 16,178

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Solution

The third proportional to 10,026 and 16,178 is: 26,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 16,178 = 16,178 : x
  2. Step 2: Convert to fraction form
    10,026/16,178 = 16,178/x
  3. Step 3: Cross multiply
    10,026x = 16,178 × 16,178
  4. Step 4: Simplify right side
    10,026x = 261,727,684
  5. Step 5: Solve for x
    x = 261,727,684/10,026
  6. Step 6: Final answer
    x = 26,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.