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Finding the Third Proportional to 6,412.50 and 14,085

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Solution

The third proportional to 6,412.50 and 14,085 is: 30,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.50 : 14,085 = 14,085 : x
  2. Step 2: Convert to fraction form
    6,412.50/14,085 = 14,085/x
  3. Step 3: Cross multiply
    6,412.50x = 14,085 × 14,085
  4. Step 4: Simplify right side
    6,412.50x = 198,387,225
  5. Step 5: Solve for x
    x = 198,387,225/6,412.50
  6. Step 6: Final answer
    x = 30,937.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.