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Finding the Third Proportional to 5,935 and 12,810.25

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Solution

The third proportional to 5,935 and 12,810.25 is: 27,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935 : 12,810.25 = 12,810.25 : x
  2. Step 2: Convert to fraction form
    5,935/12,810.25 = 12,810.25/x
  3. Step 3: Cross multiply
    5,935x = 12,810.25 × 12,810.25
  4. Step 4: Simplify right side
    5,935x = 164,102,505.06
  5. Step 5: Solve for x
    x = 164,102,505.06/5,935
  6. Step 6: Final answer
    x = 27,649.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.