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Finding the Third Proportional to 26,445 and 55,617

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Solution

The third proportional to 26,445 and 55,617 is: 116,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,445 : 55,617 = 55,617 : x
  2. Step 2: Convert to fraction form
    26,445/55,617 = 55,617/x
  3. Step 3: Cross multiply
    26,445x = 55,617 × 55,617
  4. Step 4: Simplify right side
    26,445x = 3,093,250,689
  5. Step 5: Solve for x
    x = 3,093,250,689/26,445
  6. Step 6: Final answer
    x = 116,969.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.