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Finding the Third Proportional to 21,747.23 and 46,364.91

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Solution

The third proportional to 21,747.23 and 46,364.91 is: 98,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747.23 : 46,364.91 = 46,364.91 : x
  2. Step 2: Convert to fraction form
    21,747.23/46,364.91 = 46,364.91/x
  3. Step 3: Cross multiply
    21,747.23x = 46,364.91 × 46,364.91
  4. Step 4: Simplify right side
    21,747.23x = 2,149,704,531.57
  5. Step 5: Solve for x
    x = 2,149,704,531.57/21,747.23
  6. Step 6: Final answer
    x = 98,849.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.