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Finding the Third Proportional to 5,100 and 5,628

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Solution

The third proportional to 5,100 and 5,628 is: 6,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 5,628 = 5,628 : x
  2. Step 2: Convert to fraction form
    5,100/5,628 = 5,628/x
  3. Step 3: Cross multiply
    5,100x = 5,628 × 5,628
  4. Step 4: Simplify right side
    5,100x = 31,674,384
  5. Step 5: Solve for x
    x = 31,674,384/5,100
  6. Step 6: Final answer
    x = 6,210.66

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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.