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Finding the Third Proportional to 18,540 and 23,490

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Solution

The third proportional to 18,540 and 23,490 is: 29,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540 : 23,490 = 23,490 : x
  2. Step 2: Convert to fraction form
    18,540/23,490 = 23,490/x
  3. Step 3: Cross multiply
    18,540x = 23,490 × 23,490
  4. Step 4: Simplify right side
    18,540x = 551,780,100
  5. Step 5: Solve for x
    x = 551,780,100/18,540
  6. Step 6: Final answer
    x = 29,761.60

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.