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Finding the Third Proportional to 5,296 and 7,060

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Solution

The third proportional to 5,296 and 7,060 is: 9,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296 : 7,060 = 7,060 : x
  2. Step 2: Convert to fraction form
    5,296/7,060 = 7,060/x
  3. Step 3: Cross multiply
    5,296x = 7,060 × 7,060
  4. Step 4: Simplify right side
    5,296x = 49,843,600
  5. Step 5: Solve for x
    x = 49,843,600/5,296
  6. Step 6: Final answer
    x = 9,411.56

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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.