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Finding the Third Proportional to 19,941 and 43,387.50

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Solution

The third proportional to 19,941 and 43,387.50 is: 94,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941 : 43,387.50 = 43,387.50 : x
  2. Step 2: Convert to fraction form
    19,941/43,387.50 = 43,387.50/x
  3. Step 3: Cross multiply
    19,941x = 43,387.50 × 43,387.50
  4. Step 4: Simplify right side
    19,941x = 1,882,475,156.25
  5. Step 5: Solve for x
    x = 1,882,475,156.25/19,941
  6. Step 6: Final answer
    x = 94,402.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.