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Finding the Third Proportional to 15,054.19 and 23,414.91

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Solution

The third proportional to 15,054.19 and 23,414.91 is: 36,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054.19 : 23,414.91 = 23,414.91 : x
  2. Step 2: Convert to fraction form
    15,054.19/23,414.91 = 23,414.91/x
  3. Step 3: Cross multiply
    15,054.19x = 23,414.91 × 23,414.91
  4. Step 4: Simplify right side
    15,054.19x = 548,257,834.70
  5. Step 5: Solve for x
    x = 548,257,834.70/15,054.19
  6. Step 6: Final answer
    x = 36,418.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.