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Finding the Third Proportional to 18,402 and 40,026

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Solution

The third proportional to 18,402 and 40,026 is: 87,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 40,026 = 40,026 : x
  2. Step 2: Convert to fraction form
    18,402/40,026 = 40,026/x
  3. Step 3: Cross multiply
    18,402x = 40,026 × 40,026
  4. Step 4: Simplify right side
    18,402x = 1,602,080,676
  5. Step 5: Solve for x
    x = 1,602,080,676/18,402
  6. Step 6: Final answer
    x = 87,060.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.