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Finding the Third Proportional to 15,471.84 and 23,241.94

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Solution

The third proportional to 15,471.84 and 23,241.94 is: 34,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.84 : 23,241.94 = 23,241.94 : x
  2. Step 2: Convert to fraction form
    15,471.84/23,241.94 = 23,241.94/x
  3. Step 3: Cross multiply
    15,471.84x = 23,241.94 × 23,241.94
  4. Step 4: Simplify right side
    15,471.84x = 540,187,658.75
  5. Step 5: Solve for x
    x = 540,187,658.75/15,471.84
  6. Step 6: Final answer
    x = 34,914.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.