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Finding the Third Proportional to 15,203.81 and 22,744.69

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Solution

The third proportional to 15,203.81 and 22,744.69 is: 34,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.81 : 22,744.69 = 22,744.69 : x
  2. Step 2: Convert to fraction form
    15,203.81/22,744.69 = 22,744.69/x
  3. Step 3: Cross multiply
    15,203.81x = 22,744.69 × 22,744.69
  4. Step 4: Simplify right side
    15,203.81x = 517,320,809.47
  5. Step 5: Solve for x
    x = 517,320,809.47/15,203.81
  6. Step 6: Final answer
    x = 34,025.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.