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Finding the Third Proportional to 28,026 and 58,649

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Solution

The third proportional to 28,026 and 58,649 is: 122,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 58,649 = 58,649 : x
  2. Step 2: Convert to fraction form
    28,026/58,649 = 58,649/x
  3. Step 3: Cross multiply
    28,026x = 58,649 × 58,649
  4. Step 4: Simplify right side
    28,026x = 3,439,705,201
  5. Step 5: Solve for x
    x = 3,439,705,201/28,026
  6. Step 6: Final answer
    x = 122,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.