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Finding the Third Proportional to 26,835 and 58,284

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Solution

The third proportional to 26,835 and 58,284 is: 126,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,835 : 58,284 = 58,284 : x
  2. Step 2: Convert to fraction form
    26,835/58,284 = 58,284/x
  3. Step 3: Cross multiply
    26,835x = 58,284 × 58,284
  4. Step 4: Simplify right side
    26,835x = 3,397,024,656
  5. Step 5: Solve for x
    x = 3,397,024,656/26,835
  6. Step 6: Final answer
    x = 126,589.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.