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Finding the Third Proportional to 19,456.50 and 27,532.50

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Solution

The third proportional to 19,456.50 and 27,532.50 is: 38,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456.50 : 27,532.50 = 27,532.50 : x
  2. Step 2: Convert to fraction form
    19,456.50/27,532.50 = 27,532.50/x
  3. Step 3: Cross multiply
    19,456.50x = 27,532.50 × 27,532.50
  4. Step 4: Simplify right side
    19,456.50x = 758,038,556.25
  5. Step 5: Solve for x
    x = 758,038,556.25/19,456.50
  6. Step 6: Final answer
    x = 38,960.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.