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Finding the Third Proportional to 5,302 and 11,012

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Solution

The third proportional to 5,302 and 11,012 is: 22,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302 : 11,012 = 11,012 : x
  2. Step 2: Convert to fraction form
    5,302/11,012 = 11,012/x
  3. Step 3: Cross multiply
    5,302x = 11,012 × 11,012
  4. Step 4: Simplify right side
    5,302x = 121,264,144
  5. Step 5: Solve for x
    x = 121,264,144/5,302
  6. Step 6: Final answer
    x = 22,871.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.