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Finding the Third Proportional to 16,102.50 and 34,416.38

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Solution

The third proportional to 16,102.50 and 34,416.38 is: 73,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.50 : 34,416.38 = 34,416.38 : x
  2. Step 2: Convert to fraction form
    16,102.50/34,416.38 = 34,416.38/x
  3. Step 3: Cross multiply
    16,102.50x = 34,416.38 × 34,416.38
  4. Step 4: Simplify right side
    16,102.50x = 1,184,486,868.14
  5. Step 5: Solve for x
    x = 1,184,486,868.14/16,102.50
  6. Step 6: Final answer
    x = 73,559.19

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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.