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Finding the Third Proportional to 6,135 and 14,161.50

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Solution

The third proportional to 6,135 and 14,161.50 is: 32,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135 : 14,161.50 = 14,161.50 : x
  2. Step 2: Convert to fraction form
    6,135/14,161.50 = 14,161.50/x
  3. Step 3: Cross multiply
    6,135x = 14,161.50 × 14,161.50
  4. Step 4: Simplify right side
    6,135x = 200,548,082.25
  5. Step 5: Solve for x
    x = 200,548,082.25/6,135
  6. Step 6: Final answer
    x = 32,689.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.