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Finding the Third Proportional to 18,040 and 38,570

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Solution

The third proportional to 18,040 and 38,570 is: 82,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040 : 38,570 = 38,570 : x
  2. Step 2: Convert to fraction form
    18,040/38,570 = 38,570/x
  3. Step 3: Cross multiply
    18,040x = 38,570 × 38,570
  4. Step 4: Simplify right side
    18,040x = 1,487,644,900
  5. Step 5: Solve for x
    x = 1,487,644,900/18,040
  6. Step 6: Final answer
    x = 82,463.69

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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.