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Finding the Third Proportional to 19,180.50 and 39,693

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Solution

The third proportional to 19,180.50 and 39,693 is: 82,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180.50 : 39,693 = 39,693 : x
  2. Step 2: Convert to fraction form
    19,180.50/39,693 = 39,693/x
  3. Step 3: Cross multiply
    19,180.50x = 39,693 × 39,693
  4. Step 4: Simplify right side
    19,180.50x = 1,575,534,249
  5. Step 5: Solve for x
    x = 1,575,534,249/19,180.50
  6. Step 6: Final answer
    x = 82,142.50

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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.