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Finding the Third Proportional to 16,048.50 and 38,659.50

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Solution

The third proportional to 16,048.50 and 38,659.50 is: 93,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.50 : 38,659.50 = 38,659.50 : x
  2. Step 2: Convert to fraction form
    16,048.50/38,659.50 = 38,659.50/x
  3. Step 3: Cross multiply
    16,048.50x = 38,659.50 × 38,659.50
  4. Step 4: Simplify right side
    16,048.50x = 1,494,556,940.25
  5. Step 5: Solve for x
    x = 1,494,556,940.25/16,048.50
  6. Step 6: Final answer
    x = 93,127.52

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.