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Finding the Third Proportional to 5,838 and 12,730

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Solution

The third proportional to 5,838 and 12,730 is: 27,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838 : 12,730 = 12,730 : x
  2. Step 2: Convert to fraction form
    5,838/12,730 = 12,730/x
  3. Step 3: Cross multiply
    5,838x = 12,730 × 12,730
  4. Step 4: Simplify right side
    5,838x = 162,052,900
  5. Step 5: Solve for x
    x = 162,052,900/5,838
  6. Step 6: Final answer
    x = 27,758.29

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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.