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Finding the Third Proportional to 8,315.16 and 11,202.68

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Solution

The third proportional to 8,315.16 and 11,202.68 is: 15,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.16 : 11,202.68 = 11,202.68 : x
  2. Step 2: Convert to fraction form
    8,315.16/11,202.68 = 11,202.68/x
  3. Step 3: Cross multiply
    8,315.16x = 11,202.68 × 11,202.68
  4. Step 4: Simplify right side
    8,315.16x = 125,500,032.18
  5. Step 5: Solve for x
    x = 125,500,032.18/8,315.16
  6. Step 6: Final answer
    x = 15,092.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.