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Finding the Third Proportional to 21,511 and 28,905

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Solution

The third proportional to 21,511 and 28,905 is: 38,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511 : 28,905 = 28,905 : x
  2. Step 2: Convert to fraction form
    21,511/28,905 = 28,905/x
  3. Step 3: Cross multiply
    21,511x = 28,905 × 28,905
  4. Step 4: Simplify right side
    21,511x = 835,499,025
  5. Step 5: Solve for x
    x = 835,499,025/21,511
  6. Step 6: Final answer
    x = 38,840.55

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.