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Finding the Third Proportional to 8,333.13 and 11,719.88

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Solution

The third proportional to 8,333.13 and 11,719.88 is: 16,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.13 : 11,719.88 = 11,719.88 : x
  2. Step 2: Convert to fraction form
    8,333.13/11,719.88 = 11,719.88/x
  3. Step 3: Cross multiply
    8,333.13x = 11,719.88 × 11,719.88
  4. Step 4: Simplify right side
    8,333.13x = 137,355,470.02
  5. Step 5: Solve for x
    x = 137,355,470.02/8,333.13
  6. Step 6: Final answer
    x = 16,483.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.