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Finding the Third Proportional to 26,782 and 38,260

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Solution

The third proportional to 26,782 and 38,260 is: 54,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782 : 38,260 = 38,260 : x
  2. Step 2: Convert to fraction form
    26,782/38,260 = 38,260/x
  3. Step 3: Cross multiply
    26,782x = 38,260 × 38,260
  4. Step 4: Simplify right side
    26,782x = 1,463,827,600
  5. Step 5: Solve for x
    x = 1,463,827,600/26,782
  6. Step 6: Final answer
    x = 54,657.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.