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Finding the Third Proportional to 6,521 and 7,187

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Solution

The third proportional to 6,521 and 7,187 is: 7,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521 : 7,187 = 7,187 : x
  2. Step 2: Convert to fraction form
    6,521/7,187 = 7,187/x
  3. Step 3: Cross multiply
    6,521x = 7,187 × 7,187
  4. Step 4: Simplify right side
    6,521x = 51,652,969
  5. Step 5: Solve for x
    x = 51,652,969/6,521
  6. Step 6: Final answer
    x = 7,921.02

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.