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Finding the Third Proportional to 19,699.88 and 29,958.19

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Solution

The third proportional to 19,699.88 and 29,958.19 is: 45,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.88 : 29,958.19 = 29,958.19 : x
  2. Step 2: Convert to fraction form
    19,699.88/29,958.19 = 29,958.19/x
  3. Step 3: Cross multiply
    19,699.88x = 29,958.19 × 29,958.19
  4. Step 4: Simplify right side
    19,699.88x = 897,492,998.29
  5. Step 5: Solve for x
    x = 897,492,998.29/19,699.88
  6. Step 6: Final answer
    x = 45,558.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.