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Finding the Third Proportional to 18,564.19 and 40,008.94

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Solution

The third proportional to 18,564.19 and 40,008.94 is: 86,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.19 : 40,008.94 = 40,008.94 : x
  2. Step 2: Convert to fraction form
    18,564.19/40,008.94 = 40,008.94/x
  3. Step 3: Cross multiply
    18,564.19x = 40,008.94 × 40,008.94
  4. Step 4: Simplify right side
    18,564.19x = 1,600,715,079.88
  5. Step 5: Solve for x
    x = 1,600,715,079.88/18,564.19
  6. Step 6: Final answer
    x = 86,225.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.