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Finding the Third Proportional to 6,130 and 7,186

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Solution

The third proportional to 6,130 and 7,186 is: 8,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 7,186 = 7,186 : x
  2. Step 2: Convert to fraction form
    6,130/7,186 = 7,186/x
  3. Step 3: Cross multiply
    6,130x = 7,186 × 7,186
  4. Step 4: Simplify right side
    6,130x = 51,638,596
  5. Step 5: Solve for x
    x = 51,638,596/6,130
  6. Step 6: Final answer
    x = 8,423.91

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.