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Finding the Third Proportional to 5,235.06 and 11,411.27

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Solution

The third proportional to 5,235.06 and 11,411.27 is: 24,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.06 : 11,411.27 = 11,411.27 : x
  2. Step 2: Convert to fraction form
    5,235.06/11,411.27 = 11,411.27/x
  3. Step 3: Cross multiply
    5,235.06x = 11,411.27 × 11,411.27
  4. Step 4: Simplify right side
    5,235.06x = 130,217,094.60
  5. Step 5: Solve for x
    x = 130,217,094.60/5,235.06
  6. Step 6: Final answer
    x = 24,874.04

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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.