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Finding the Third Proportional to 2,451.52 and 5,364.35

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Solution

The third proportional to 2,451.52 and 5,364.35 is: 11,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.52 : 5,364.35 = 5,364.35 : x
  2. Step 2: Convert to fraction form
    2,451.52/5,364.35 = 5,364.35/x
  3. Step 3: Cross multiply
    2,451.52x = 5,364.35 × 5,364.35
  4. Step 4: Simplify right side
    2,451.52x = 28,776,267.69
  5. Step 5: Solve for x
    x = 28,776,267.69/2,451.52
  6. Step 6: Final answer
    x = 11,738.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.