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Finding the Third Proportional to 5,360.25 and 11,758.88

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Solution

The third proportional to 5,360.25 and 11,758.88 is: 25,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.25 : 11,758.88 = 11,758.88 : x
  2. Step 2: Convert to fraction form
    5,360.25/11,758.88 = 11,758.88/x
  3. Step 3: Cross multiply
    5,360.25x = 11,758.88 × 11,758.88
  4. Step 4: Simplify right side
    5,360.25x = 138,271,141.27
  5. Step 5: Solve for x
    x = 138,271,141.27/5,360.25
  6. Step 6: Final answer
    x = 25,795.65

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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.