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Finding the Third Proportional to 5,235.19 and 11,411.30

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Solution

The third proportional to 5,235.19 and 11,411.30 is: 24,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.19 : 11,411.30 = 11,411.30 : x
  2. Step 2: Convert to fraction form
    5,235.19/11,411.30 = 11,411.30/x
  3. Step 3: Cross multiply
    5,235.19x = 11,411.30 × 11,411.30
  4. Step 4: Simplify right side
    5,235.19x = 130,217,696.37
  5. Step 5: Solve for x
    x = 130,217,696.37/5,235.19
  6. Step 6: Final answer
    x = 24,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.