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Finding the Third Proportional to 5,902.88 and 11,215.13

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Solution

The third proportional to 5,902.88 and 11,215.13 is: 21,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.88 : 11,215.13 = 11,215.13 : x
  2. Step 2: Convert to fraction form
    5,902.88/11,215.13 = 11,215.13/x
  3. Step 3: Cross multiply
    5,902.88x = 11,215.13 × 11,215.13
  4. Step 4: Simplify right side
    5,902.88x = 125,779,028.77
  5. Step 5: Solve for x
    x = 125,779,028.77/5,902.88
  6. Step 6: Final answer
    x = 21,308.10

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.