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Finding the Third Proportional to 19,585.97 and 29,837.95

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Solution

The third proportional to 19,585.97 and 29,837.95 is: 45,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.97 : 29,837.95 = 29,837.95 : x
  2. Step 2: Convert to fraction form
    19,585.97/29,837.95 = 29,837.95/x
  3. Step 3: Cross multiply
    19,585.97x = 29,837.95 × 29,837.95
  4. Step 4: Simplify right side
    19,585.97x = 890,303,446.69
  5. Step 5: Solve for x
    x = 890,303,446.69/19,585.97
  6. Step 6: Final answer
    x = 45,456.19

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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.