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Finding the Third Proportional to 26,460 and 35,118

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Solution

The third proportional to 26,460 and 35,118 is: 46,608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,460 : 35,118 = 35,118 : x
  2. Step 2: Convert to fraction form
    26,460/35,118 = 35,118/x
  3. Step 3: Cross multiply
    26,460x = 35,118 × 35,118
  4. Step 4: Simplify right side
    26,460x = 1,233,273,924
  5. Step 5: Solve for x
    x = 1,233,273,924/26,460
  6. Step 6: Final answer
    x = 46,608.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.