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Finding the Third Proportional to 5,135.34 and 11,048.91

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Solution

The third proportional to 5,135.34 and 11,048.91 is: 23,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.34 : 11,048.91 = 11,048.91 : x
  2. Step 2: Convert to fraction form
    5,135.34/11,048.91 = 11,048.91/x
  3. Step 3: Cross multiply
    5,135.34x = 11,048.91 × 11,048.91
  4. Step 4: Simplify right side
    5,135.34x = 122,078,329.32
  5. Step 5: Solve for x
    x = 122,078,329.32/5,135.34
  6. Step 6: Final answer
    x = 23,772.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.