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Finding the Third Proportional to 5,649.75 and 12,534.75

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Solution

The third proportional to 5,649.75 and 12,534.75 is: 27,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 12,534.75 = 12,534.75 : x
  2. Step 2: Convert to fraction form
    5,649.75/12,534.75 = 12,534.75/x
  3. Step 3: Cross multiply
    5,649.75x = 12,534.75 × 12,534.75
  4. Step 4: Simplify right side
    5,649.75x = 157,119,957.56
  5. Step 5: Solve for x
    x = 157,119,957.56/5,649.75
  6. Step 6: Final answer
    x = 27,810.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.