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Finding the Third Proportional to 18,562 and 40,034

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Solution

The third proportional to 18,562 and 40,034 is: 86,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562 : 40,034 = 40,034 : x
  2. Step 2: Convert to fraction form
    18,562/40,034 = 40,034/x
  3. Step 3: Cross multiply
    18,562x = 40,034 × 40,034
  4. Step 4: Simplify right side
    18,562x = 1,602,721,156
  5. Step 5: Solve for x
    x = 1,602,721,156/18,562
  6. Step 6: Final answer
    x = 86,344.21

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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.