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Finding the Third Proportional to 28,941 and 38,428.50

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Solution

The third proportional to 28,941 and 38,428.50 is: 51,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,941 : 38,428.50 = 38,428.50 : x
  2. Step 2: Convert to fraction form
    28,941/38,428.50 = 38,428.50/x
  3. Step 3: Cross multiply
    28,941x = 38,428.50 × 38,428.50
  4. Step 4: Simplify right side
    28,941x = 1,476,749,612.25
  5. Step 5: Solve for x
    x = 1,476,749,612.25/28,941
  6. Step 6: Final answer
    x = 51,026.21

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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.