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Finding the Third Proportional to 21,296 and 46,309

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Solution

The third proportional to 21,296 and 46,309 is: 100,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296 : 46,309 = 46,309 : x
  2. Step 2: Convert to fraction form
    21,296/46,309 = 46,309/x
  3. Step 3: Cross multiply
    21,296x = 46,309 × 46,309
  4. Step 4: Simplify right side
    21,296x = 2,144,523,481
  5. Step 5: Solve for x
    x = 2,144,523,481/21,296
  6. Step 6: Final answer
    x = 100,700.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.