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Finding the Third Proportional to 5,300 and 7,500

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Solution

The third proportional to 5,300 and 7,500 is: 10,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 7,500 = 7,500 : x
  2. Step 2: Convert to fraction form
    5,300/7,500 = 7,500/x
  3. Step 3: Cross multiply
    5,300x = 7,500 × 7,500
  4. Step 4: Simplify right side
    5,300x = 56,250,000
  5. Step 5: Solve for x
    x = 56,250,000/5,300
  6. Step 6: Final answer
    x = 10,613.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.