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Finding the Third Proportional to 7,914.90 and 16,719.86

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Solution

The third proportional to 7,914.90 and 16,719.86 is: 35,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.90 : 16,719.86 = 16,719.86 : x
  2. Step 2: Convert to fraction form
    7,914.90/16,719.86 = 16,719.86/x
  3. Step 3: Cross multiply
    7,914.90x = 16,719.86 × 16,719.86
  4. Step 4: Simplify right side
    7,914.90x = 279,553,566.90
  5. Step 5: Solve for x
    x = 279,553,566.90/7,914.90
  6. Step 6: Final answer
    x = 35,319.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.