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Finding the Third Proportional to 15,742.88 and 22,012.31

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Solution

The third proportional to 15,742.88 and 22,012.31 is: 30,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.88 : 22,012.31 = 22,012.31 : x
  2. Step 2: Convert to fraction form
    15,742.88/22,012.31 = 22,012.31/x
  3. Step 3: Cross multiply
    15,742.88x = 22,012.31 × 22,012.31
  4. Step 4: Simplify right side
    15,742.88x = 484,541,901.60
  5. Step 5: Solve for x
    x = 484,541,901.60/15,742.88
  6. Step 6: Final answer
    x = 30,778.49

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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.