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Finding the Third Proportional to 26,384 and 35,240

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Solution

The third proportional to 26,384 and 35,240 is: 47,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384 : 35,240 = 35,240 : x
  2. Step 2: Convert to fraction form
    26,384/35,240 = 35,240/x
  3. Step 3: Cross multiply
    26,384x = 35,240 × 35,240
  4. Step 4: Simplify right side
    26,384x = 1,241,857,600
  5. Step 5: Solve for x
    x = 1,241,857,600/26,384
  6. Step 6: Final answer
    x = 47,068.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.