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Finding the Third Proportional to 26,266 and 54,748

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Solution

The third proportional to 26,266 and 54,748 is: 114,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,266 : 54,748 = 54,748 : x
  2. Step 2: Convert to fraction form
    26,266/54,748 = 54,748/x
  3. Step 3: Cross multiply
    26,266x = 54,748 × 54,748
  4. Step 4: Simplify right side
    26,266x = 2,997,343,504
  5. Step 5: Solve for x
    x = 2,997,343,504/26,266
  6. Step 6: Final answer
    x = 114,114.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.