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Finding the Third Proportional to 17,812.50 and 38,451

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Solution

The third proportional to 17,812.50 and 38,451 is: 83,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.50 : 38,451 = 38,451 : x
  2. Step 2: Convert to fraction form
    17,812.50/38,451 = 38,451/x
  3. Step 3: Cross multiply
    17,812.50x = 38,451 × 38,451
  4. Step 4: Simplify right side
    17,812.50x = 1,478,479,401
  5. Step 5: Solve for x
    x = 1,478,479,401/17,812.50
  6. Step 6: Final answer
    x = 83,002.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.