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Finding the Third Proportional to 15,965.25 and 24,168.94

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Solution

The third proportional to 15,965.25 and 24,168.94 is: 36,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.25 : 24,168.94 = 24,168.94 : x
  2. Step 2: Convert to fraction form
    15,965.25/24,168.94 = 24,168.94/x
  3. Step 3: Cross multiply
    15,965.25x = 24,168.94 × 24,168.94
  4. Step 4: Simplify right side
    15,965.25x = 584,137,539.88
  5. Step 5: Solve for x
    x = 584,137,539.88/15,965.25
  6. Step 6: Final answer
    x = 36,588.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.