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Finding the Third Proportional to 7,186 and 14,564

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Solution

The third proportional to 7,186 and 14,564 is: 29,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186 : 14,564 = 14,564 : x
  2. Step 2: Convert to fraction form
    7,186/14,564 = 14,564/x
  3. Step 3: Cross multiply
    7,186x = 14,564 × 14,564
  4. Step 4: Simplify right side
    7,186x = 212,110,096
  5. Step 5: Solve for x
    x = 212,110,096/7,186
  6. Step 6: Final answer
    x = 29,517.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.