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Finding the Third Proportional to 10,702 and 14,204.25

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Solution

The third proportional to 10,702 and 14,204.25 is: 18,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702 : 14,204.25 = 14,204.25 : x
  2. Step 2: Convert to fraction form
    10,702/14,204.25 = 14,204.25/x
  3. Step 3: Cross multiply
    10,702x = 14,204.25 × 14,204.25
  4. Step 4: Simplify right side
    10,702x = 201,760,718.06
  5. Step 5: Solve for x
    x = 201,760,718.06/10,702
  6. Step 6: Final answer
    x = 18,852.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.