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Finding the Third Proportional to 5,259.94 and 12,177.84

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Solution

The third proportional to 5,259.94 and 12,177.84 is: 28,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.94 : 12,177.84 = 12,177.84 : x
  2. Step 2: Convert to fraction form
    5,259.94/12,177.84 = 12,177.84/x
  3. Step 3: Cross multiply
    5,259.94x = 12,177.84 × 12,177.84
  4. Step 4: Simplify right side
    5,259.94x = 148,299,878.40
  5. Step 5: Solve for x
    x = 148,299,878.40/5,259.94
  6. Step 6: Final answer
    x = 28,194.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.