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Finding the Third Proportional to 10,420 and 18,536

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Solution

The third proportional to 10,420 and 18,536 is: 32,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420 : 18,536 = 18,536 : x
  2. Step 2: Convert to fraction form
    10,420/18,536 = 18,536/x
  3. Step 3: Cross multiply
    10,420x = 18,536 × 18,536
  4. Step 4: Simplify right side
    10,420x = 343,583,296
  5. Step 5: Solve for x
    x = 343,583,296/10,420
  6. Step 6: Final answer
    x = 32,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.