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Finding the Third Proportional to 21,310 and 46,367

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Solution

The third proportional to 21,310 and 46,367 is: 100,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,310 : 46,367 = 46,367 : x
  2. Step 2: Convert to fraction form
    21,310/46,367 = 46,367/x
  3. Step 3: Cross multiply
    21,310x = 46,367 × 46,367
  4. Step 4: Simplify right side
    21,310x = 2,149,898,689
  5. Step 5: Solve for x
    x = 2,149,898,689/21,310
  6. Step 6: Final answer
    x = 100,886.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.