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Finding the Third Proportional to 5,070 and 10,296

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Solution

The third proportional to 5,070 and 10,296 is: 20,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 10,296 = 10,296 : x
  2. Step 2: Convert to fraction form
    5,070/10,296 = 10,296/x
  3. Step 3: Cross multiply
    5,070x = 10,296 × 10,296
  4. Step 4: Simplify right side
    5,070x = 106,007,616
  5. Step 5: Solve for x
    x = 106,007,616/5,070
  6. Step 6: Final answer
    x = 20,908.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.