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Finding the Third Proportional to 13,060.50 and 26,817

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Solution

The third proportional to 13,060.50 and 26,817 is: 55,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.50 : 26,817 = 26,817 : x
  2. Step 2: Convert to fraction form
    13,060.50/26,817 = 26,817/x
  3. Step 3: Cross multiply
    13,060.50x = 26,817 × 26,817
  4. Step 4: Simplify right side
    13,060.50x = 719,151,489
  5. Step 5: Solve for x
    x = 719,151,489/13,060.50
  6. Step 6: Final answer
    x = 55,063.09

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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.