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Finding the Third Proportional to 20,514 and 46,716

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Solution

The third proportional to 20,514 and 46,716 is: 106,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514 : 46,716 = 46,716 : x
  2. Step 2: Convert to fraction form
    20,514/46,716 = 46,716/x
  3. Step 3: Cross multiply
    20,514x = 46,716 × 46,716
  4. Step 4: Simplify right side
    20,514x = 2,182,384,656
  5. Step 5: Solve for x
    x = 2,182,384,656/20,514
  6. Step 6: Final answer
    x = 106,385.13

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.