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Finding the Third Proportional to 810 and 2,187

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Solution

The third proportional to 810 and 2,187 is: 5,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    810 : 2,187 = 2,187 : x
  2. Step 2: Convert to fraction form
    810/2,187 = 2,187/x
  3. Step 3: Cross multiply
    810x = 2,187 × 2,187
  4. Step 4: Simplify right side
    810x = 4,782,969
  5. Step 5: Solve for x
    x = 4,782,969/810
  6. Step 6: Final answer
    x = 5,904.90

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.