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Finding the Third Proportional to 14,198 and 30,342

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Solution

The third proportional to 14,198 and 30,342 is: 64,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198 : 30,342 = 30,342 : x
  2. Step 2: Convert to fraction form
    14,198/30,342 = 30,342/x
  3. Step 3: Cross multiply
    14,198x = 30,342 × 30,342
  4. Step 4: Simplify right side
    14,198x = 920,636,964
  5. Step 5: Solve for x
    x = 920,636,964/14,198
  6. Step 6: Final answer
    x = 64,842.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.