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Finding the Third Proportional to 18,706 and 41,047

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Solution

The third proportional to 18,706 and 41,047 is: 90,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706 : 41,047 = 41,047 : x
  2. Step 2: Convert to fraction form
    18,706/41,047 = 41,047/x
  3. Step 3: Cross multiply
    18,706x = 41,047 × 41,047
  4. Step 4: Simplify right side
    18,706x = 1,684,856,209
  5. Step 5: Solve for x
    x = 1,684,856,209/18,706
  6. Step 6: Final answer
    x = 90,070.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.