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Finding the Third Proportional to 5,076 and 6,561

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Solution

The third proportional to 5,076 and 6,561 is: 8,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076 : 6,561 = 6,561 : x
  2. Step 2: Convert to fraction form
    5,076/6,561 = 6,561/x
  3. Step 3: Cross multiply
    5,076x = 6,561 × 6,561
  4. Step 4: Simplify right side
    5,076x = 43,046,721
  5. Step 5: Solve for x
    x = 43,046,721/5,076
  6. Step 6: Final answer
    x = 8,480.44

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.