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Finding the Third Proportional to 5,118.19 and 11,043.84

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Solution

The third proportional to 5,118.19 and 11,043.84 is: 23,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.19 : 11,043.84 = 11,043.84 : x
  2. Step 2: Convert to fraction form
    5,118.19/11,043.84 = 11,043.84/x
  3. Step 3: Cross multiply
    5,118.19x = 11,043.84 × 11,043.84
  4. Step 4: Simplify right side
    5,118.19x = 121,966,484.77
  5. Step 5: Solve for x
    x = 121,966,484.77/5,118.19
  6. Step 6: Final answer
    x = 23,830.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.