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Finding the Third Proportional to 14,310 and 30,186

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Solution

The third proportional to 14,310 and 30,186 is: 63,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 30,186 = 30,186 : x
  2. Step 2: Convert to fraction form
    14,310/30,186 = 30,186/x
  3. Step 3: Cross multiply
    14,310x = 30,186 × 30,186
  4. Step 4: Simplify right side
    14,310x = 911,194,596
  5. Step 5: Solve for x
    x = 911,194,596/14,310
  6. Step 6: Final answer
    x = 63,675.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.