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Finding the Third Proportional to 5,204 and 14,066

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Solution

The third proportional to 5,204 and 14,066 is: 38,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 14,066 = 14,066 : x
  2. Step 2: Convert to fraction form
    5,204/14,066 = 14,066/x
  3. Step 3: Cross multiply
    5,204x = 14,066 × 14,066
  4. Step 4: Simplify right side
    5,204x = 197,852,356
  5. Step 5: Solve for x
    x = 197,852,356/5,204
  6. Step 6: Final answer
    x = 38,019.28

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.