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Finding the Third Proportional to 21,248 and 46,691

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Solution

The third proportional to 21,248 and 46,691 is: 102,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,248 : 46,691 = 46,691 : x
  2. Step 2: Convert to fraction form
    21,248/46,691 = 46,691/x
  3. Step 3: Cross multiply
    21,248x = 46,691 × 46,691
  4. Step 4: Simplify right side
    21,248x = 2,180,049,481
  5. Step 5: Solve for x
    x = 2,180,049,481/21,248
  6. Step 6: Final answer
    x = 102,600.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.