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Finding the Third Proportional to 18,113.63 and 38,530.69

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Solution

The third proportional to 18,113.63 and 38,530.69 is: 81,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,113.63 : 38,530.69 = 38,530.69 : x
  2. Step 2: Convert to fraction form
    18,113.63/38,530.69 = 38,530.69/x
  3. Step 3: Cross multiply
    18,113.63x = 38,530.69 × 38,530.69
  4. Step 4: Simplify right side
    18,113.63x = 1,484,613,879.22
  5. Step 5: Solve for x
    x = 1,484,613,879.22/18,113.63
  6. Step 6: Final answer
    x = 81,961.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.