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Finding the Third Proportional to 40,321 and 63,573

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Solution

The third proportional to 40,321 and 63,573 is: 100,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,321 : 63,573 = 63,573 : x
  2. Step 2: Convert to fraction form
    40,321/63,573 = 63,573/x
  3. Step 3: Cross multiply
    40,321x = 63,573 × 63,573
  4. Step 4: Simplify right side
    40,321x = 4,041,526,329
  5. Step 5: Solve for x
    x = 4,041,526,329/40,321
  6. Step 6: Final answer
    x = 100,233.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.