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Finding the Third Proportional to 19,446.75 and 30,469.50

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Solution

The third proportional to 19,446.75 and 30,469.50 is: 47,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446.75 : 30,469.50 = 30,469.50 : x
  2. Step 2: Convert to fraction form
    19,446.75/30,469.50 = 30,469.50/x
  3. Step 3: Cross multiply
    19,446.75x = 30,469.50 × 30,469.50
  4. Step 4: Simplify right side
    19,446.75x = 928,390,430.25
  5. Step 5: Solve for x
    x = 928,390,430.25/19,446.75
  6. Step 6: Final answer
    x = 47,740.13

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.