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Finding the Third Proportional to 18,422.58 and 39,473.72

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Solution

The third proportional to 18,422.58 and 39,473.72 is: 84,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.58 : 39,473.72 = 39,473.72 : x
  2. Step 2: Convert to fraction form
    18,422.58/39,473.72 = 39,473.72/x
  3. Step 3: Cross multiply
    18,422.58x = 39,473.72 × 39,473.72
  4. Step 4: Simplify right side
    18,422.58x = 1,558,174,471.95
  5. Step 5: Solve for x
    x = 1,558,174,471.95/18,422.58
  6. Step 6: Final answer
    x = 84,579.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.