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Finding the Third Proportional to 19,305 and 42,300.75

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Solution

The third proportional to 19,305 and 42,300.75 is: 92,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 42,300.75 = 42,300.75 : x
  2. Step 2: Convert to fraction form
    19,305/42,300.75 = 42,300.75/x
  3. Step 3: Cross multiply
    19,305x = 42,300.75 × 42,300.75
  4. Step 4: Simplify right side
    19,305x = 1,789,353,450.56
  5. Step 5: Solve for x
    x = 1,789,353,450.56/19,305
  6. Step 6: Final answer
    x = 92,688.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.