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Finding the Third Proportional to 13,126 and 26,900

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Solution

The third proportional to 13,126 and 26,900 is: 55,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126 : 26,900 = 26,900 : x
  2. Step 2: Convert to fraction form
    13,126/26,900 = 26,900/x
  3. Step 3: Cross multiply
    13,126x = 26,900 × 26,900
  4. Step 4: Simplify right side
    13,126x = 723,610,000
  5. Step 5: Solve for x
    x = 723,610,000/13,126
  6. Step 6: Final answer
    x = 55,127.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.