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Finding the Third Proportional to 21,354.57 and 46,396.86

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Solution

The third proportional to 21,354.57 and 46,396.86 is: 100,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.57 : 46,396.86 = 46,396.86 : x
  2. Step 2: Convert to fraction form
    21,354.57/46,396.86 = 46,396.86/x
  3. Step 3: Cross multiply
    21,354.57x = 46,396.86 × 46,396.86
  4. Step 4: Simplify right side
    21,354.57x = 2,152,668,922.34
  5. Step 5: Solve for x
    x = 2,152,668,922.34/21,354.57
  6. Step 6: Final answer
    x = 100,805.99

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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.