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Finding the Third Proportional to 26,511 and 56,091

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Solution

The third proportional to 26,511 and 56,091 is: 118,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,511 : 56,091 = 56,091 : x
  2. Step 2: Convert to fraction form
    26,511/56,091 = 56,091/x
  3. Step 3: Cross multiply
    26,511x = 56,091 × 56,091
  4. Step 4: Simplify right side
    26,511x = 3,146,200,281
  5. Step 5: Solve for x
    x = 3,146,200,281/26,511
  6. Step 6: Final answer
    x = 118,675.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.