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Finding the Third Proportional to 5,783 and 12,630

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Solution

The third proportional to 5,783 and 12,630 is: 27,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783 : 12,630 = 12,630 : x
  2. Step 2: Convert to fraction form
    5,783/12,630 = 12,630/x
  3. Step 3: Cross multiply
    5,783x = 12,630 × 12,630
  4. Step 4: Simplify right side
    5,783x = 159,516,900
  5. Step 5: Solve for x
    x = 159,516,900/5,783
  6. Step 6: Final answer
    x = 27,583.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.