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Finding the Third Proportional to 19,821.38 and 30,359.63

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Solution

The third proportional to 19,821.38 and 30,359.63 is: 46,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.38 : 30,359.63 = 30,359.63 : x
  2. Step 2: Convert to fraction form
    19,821.38/30,359.63 = 30,359.63/x
  3. Step 3: Cross multiply
    19,821.38x = 30,359.63 × 30,359.63
  4. Step 4: Simplify right side
    19,821.38x = 921,706,830.14
  5. Step 5: Solve for x
    x = 921,706,830.14/19,821.38
  6. Step 6: Final answer
    x = 46,500.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.