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Finding the Third Proportional to 43,237 and 63,451

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Solution

The third proportional to 43,237 and 63,451 is: 93,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,237 : 63,451 = 63,451 : x
  2. Step 2: Convert to fraction form
    43,237/63,451 = 63,451/x
  3. Step 3: Cross multiply
    43,237x = 63,451 × 63,451
  4. Step 4: Simplify right side
    43,237x = 4,026,029,401
  5. Step 5: Solve for x
    x = 4,026,029,401/43,237
  6. Step 6: Final answer
    x = 93,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.