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Finding the Third Proportional to 18,631 and 40,547

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Solution

The third proportional to 18,631 and 40,547 is: 88,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,631 : 40,547 = 40,547 : x
  2. Step 2: Convert to fraction form
    18,631/40,547 = 40,547/x
  3. Step 3: Cross multiply
    18,631x = 40,547 × 40,547
  4. Step 4: Simplify right side
    18,631x = 1,644,059,209
  5. Step 5: Solve for x
    x = 1,644,059,209/18,631
  6. Step 6: Final answer
    x = 88,243.21

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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.