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Finding the Third Proportional to 17,842.75 and 39,216.25

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Solution

The third proportional to 17,842.75 and 39,216.25 is: 86,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.75 : 39,216.25 = 39,216.25 : x
  2. Step 2: Convert to fraction form
    17,842.75/39,216.25 = 39,216.25/x
  3. Step 3: Cross multiply
    17,842.75x = 39,216.25 × 39,216.25
  4. Step 4: Simplify right side
    17,842.75x = 1,537,914,264.06
  5. Step 5: Solve for x
    x = 1,537,914,264.06/17,842.75
  6. Step 6: Final answer
    x = 86,192.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.