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Finding the Third Proportional to 17,427.66 and 38,226.94

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Solution

The third proportional to 17,427.66 and 38,226.94 is: 83,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427.66 : 38,226.94 = 38,226.94 : x
  2. Step 2: Convert to fraction form
    17,427.66/38,226.94 = 38,226.94/x
  3. Step 3: Cross multiply
    17,427.66x = 38,226.94 × 38,226.94
  4. Step 4: Simplify right side
    17,427.66x = 1,461,298,750.63
  5. Step 5: Solve for x
    x = 1,461,298,750.63/17,427.66
  6. Step 6: Final answer
    x = 83,849.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.