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Finding the Third Proportional to 3,715.88 and 7,739.16

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Solution

The third proportional to 3,715.88 and 7,739.16 is: 16,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.88 : 7,739.16 = 7,739.16 : x
  2. Step 2: Convert to fraction form
    3,715.88/7,739.16 = 7,739.16/x
  3. Step 3: Cross multiply
    3,715.88x = 7,739.16 × 7,739.16
  4. Step 4: Simplify right side
    3,715.88x = 59,894,539.46
  5. Step 5: Solve for x
    x = 59,894,539.46/3,715.88
  6. Step 6: Final answer
    x = 16,118.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.