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Finding the Third Proportional to 21,377.25 and 46,404.63

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Solution

The third proportional to 21,377.25 and 46,404.63 is: 100,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.25 : 46,404.63 = 46,404.63 : x
  2. Step 2: Convert to fraction form
    21,377.25/46,404.63 = 46,404.63/x
  3. Step 3: Cross multiply
    21,377.25x = 46,404.63 × 46,404.63
  4. Step 4: Simplify right side
    21,377.25x = 2,153,389,221.39
  5. Step 5: Solve for x
    x = 2,153,389,221.39/21,377.25
  6. Step 6: Final answer
    x = 100,732.75

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