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Finding the Third Proportional to 19,402.31 and 42,615

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Solution

The third proportional to 19,402.31 and 42,615 is: 93,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.31 : 42,615 = 42,615 : x
  2. Step 2: Convert to fraction form
    19,402.31/42,615 = 42,615/x
  3. Step 3: Cross multiply
    19,402.31x = 42,615 × 42,615
  4. Step 4: Simplify right side
    19,402.31x = 1,816,038,225
  5. Step 5: Solve for x
    x = 1,816,038,225/19,402.31
  6. Step 6: Final answer
    x = 93,599.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.