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Finding the Third Proportional to 5,789 and 12,753

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Solution

The third proportional to 5,789 and 12,753 is: 28,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 12,753 = 12,753 : x
  2. Step 2: Convert to fraction form
    5,789/12,753 = 12,753/x
  3. Step 3: Cross multiply
    5,789x = 12,753 × 12,753
  4. Step 4: Simplify right side
    5,789x = 162,639,009
  5. Step 5: Solve for x
    x = 162,639,009/5,789
  6. Step 6: Final answer
    x = 28,094.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.