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Finding the Third Proportional to 5,873.48 and 9,108.49

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Solution

The third proportional to 5,873.48 and 9,108.49 is: 14,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.48 : 9,108.49 = 9,108.49 : x
  2. Step 2: Convert to fraction form
    5,873.48/9,108.49 = 9,108.49/x
  3. Step 3: Cross multiply
    5,873.48x = 9,108.49 × 9,108.49
  4. Step 4: Simplify right side
    5,873.48x = 82,964,629.93
  5. Step 5: Solve for x
    x = 82,964,629.93/5,873.48
  6. Step 6: Final answer
    x = 14,125.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.