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Finding the Third Proportional to 21,071 and 46,516

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Solution

The third proportional to 21,071 and 46,516 is: 102,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071 : 46,516 = 46,516 : x
  2. Step 2: Convert to fraction form
    21,071/46,516 = 46,516/x
  3. Step 3: Cross multiply
    21,071x = 46,516 × 46,516
  4. Step 4: Simplify right side
    21,071x = 2,163,738,256
  5. Step 5: Solve for x
    x = 2,163,738,256/21,071
  6. Step 6: Final answer
    x = 102,687.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.