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Finding the Third Proportional to 15,321.66 and 23,427.98

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Solution

The third proportional to 15,321.66 and 23,427.98 is: 35,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.66 : 23,427.98 = 23,427.98 : x
  2. Step 2: Convert to fraction form
    15,321.66/23,427.98 = 23,427.98/x
  3. Step 3: Cross multiply
    15,321.66x = 23,427.98 × 23,427.98
  4. Step 4: Simplify right side
    15,321.66x = 548,870,451.88
  5. Step 5: Solve for x
    x = 548,870,451.88/15,321.66
  6. Step 6: Final answer
    x = 35,823.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.