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Finding the Third Proportional to 19,257.75 and 39,811.50

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Solution

The third proportional to 19,257.75 and 39,811.50 is: 82,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.75 : 39,811.50 = 39,811.50 : x
  2. Step 2: Convert to fraction form
    19,257.75/39,811.50 = 39,811.50/x
  3. Step 3: Cross multiply
    19,257.75x = 39,811.50 × 39,811.50
  4. Step 4: Simplify right side
    19,257.75x = 1,584,955,532.25
  5. Step 5: Solve for x
    x = 1,584,955,532.25/19,257.75
  6. Step 6: Final answer
    x = 82,302.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.