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Finding the Third Proportional to 7,215.33 and 11,083.08

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Solution

The third proportional to 7,215.33 and 11,083.08 is: 17,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.33 : 11,083.08 = 11,083.08 : x
  2. Step 2: Convert to fraction form
    7,215.33/11,083.08 = 11,083.08/x
  3. Step 3: Cross multiply
    7,215.33x = 11,083.08 × 11,083.08
  4. Step 4: Simplify right side
    7,215.33x = 122,834,620.72
  5. Step 5: Solve for x
    x = 122,834,620.72/7,215.33
  6. Step 6: Final answer
    x = 17,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.