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Finding the Third Proportional to 26,466 and 52,260

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Solution

The third proportional to 26,466 and 52,260 is: 103,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466 : 52,260 = 52,260 : x
  2. Step 2: Convert to fraction form
    26,466/52,260 = 52,260/x
  3. Step 3: Cross multiply
    26,466x = 52,260 × 52,260
  4. Step 4: Simplify right side
    26,466x = 2,731,107,600
  5. Step 5: Solve for x
    x = 2,731,107,600/26,466
  6. Step 6: Final answer
    x = 103,193.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.