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Finding the Third Proportional to 15,744 and 22,039.50

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Solution

The third proportional to 15,744 and 22,039.50 is: 30,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 22,039.50 = 22,039.50 : x
  2. Step 2: Convert to fraction form
    15,744/22,039.50 = 22,039.50/x
  3. Step 3: Cross multiply
    15,744x = 22,039.50 × 22,039.50
  4. Step 4: Simplify right side
    15,744x = 485,739,560.25
  5. Step 5: Solve for x
    x = 485,739,560.25/15,744
  6. Step 6: Final answer
    x = 30,852.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.