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Finding the Third Proportional to 16,102.88 and 34,416.94

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Solution

The third proportional to 16,102.88 and 34,416.94 is: 73,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.88 : 34,416.94 = 34,416.94 : x
  2. Step 2: Convert to fraction form
    16,102.88/34,416.94 = 34,416.94/x
  3. Step 3: Cross multiply
    16,102.88x = 34,416.94 × 34,416.94
  4. Step 4: Simplify right side
    16,102.88x = 1,184,525,586.88
  5. Step 5: Solve for x
    x = 1,184,525,586.88/16,102.88
  6. Step 6: Final answer
    x = 73,559.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.