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Finding the Third Proportional to 28,898 and 54,340

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Solution

The third proportional to 28,898 and 54,340 is: 102,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,898 : 54,340 = 54,340 : x
  2. Step 2: Convert to fraction form
    28,898/54,340 = 54,340/x
  3. Step 3: Cross multiply
    28,898x = 54,340 × 54,340
  4. Step 4: Simplify right side
    28,898x = 2,952,835,600
  5. Step 5: Solve for x
    x = 2,952,835,600/28,898
  6. Step 6: Final answer
    x = 102,181.31

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.