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Finding the Third Proportional to 21,423 and 46,951

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Solution

The third proportional to 21,423 and 46,951 is: 102,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423 : 46,951 = 46,951 : x
  2. Step 2: Convert to fraction form
    21,423/46,951 = 46,951/x
  3. Step 3: Cross multiply
    21,423x = 46,951 × 46,951
  4. Step 4: Simplify right side
    21,423x = 2,204,396,401
  5. Step 5: Solve for x
    x = 2,204,396,401/21,423
  6. Step 6: Final answer
    x = 102,898.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.