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Finding the Third Proportional to 6,126 and 13,072

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Solution

The third proportional to 6,126 and 13,072 is: 27,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126 : 13,072 = 13,072 : x
  2. Step 2: Convert to fraction form
    6,126/13,072 = 13,072/x
  3. Step 3: Cross multiply
    6,126x = 13,072 × 13,072
  4. Step 4: Simplify right side
    6,126x = 170,877,184
  5. Step 5: Solve for x
    x = 170,877,184/6,126
  6. Step 6: Final answer
    x = 27,893.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.