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Finding the Third Proportional to 8,025.19 and 12,475.97

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Solution

The third proportional to 8,025.19 and 12,475.97 is: 19,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.19 : 12,475.97 = 12,475.97 : x
  2. Step 2: Convert to fraction form
    8,025.19/12,475.97 = 12,475.97/x
  3. Step 3: Cross multiply
    8,025.19x = 12,475.97 × 12,475.97
  4. Step 4: Simplify right side
    8,025.19x = 155,649,796.25
  5. Step 5: Solve for x
    x = 155,649,796.25/8,025.19
  6. Step 6: Final answer
    x = 19,395.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.