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Finding the Third Proportional to 14,197 and 29,865

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Solution

The third proportional to 14,197 and 29,865 is: 62,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197 : 29,865 = 29,865 : x
  2. Step 2: Convert to fraction form
    14,197/29,865 = 29,865/x
  3. Step 3: Cross multiply
    14,197x = 29,865 × 29,865
  4. Step 4: Simplify right side
    14,197x = 891,918,225
  5. Step 5: Solve for x
    x = 891,918,225/14,197
  6. Step 6: Final answer
    x = 62,824.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.