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Finding the Third Proportional to 14,082 and 25,033.50

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Solution

The third proportional to 14,082 and 25,033.50 is: 44,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082 : 25,033.50 = 25,033.50 : x
  2. Step 2: Convert to fraction form
    14,082/25,033.50 = 25,033.50/x
  3. Step 3: Cross multiply
    14,082x = 25,033.50 × 25,033.50
  4. Step 4: Simplify right side
    14,082x = 626,676,122.25
  5. Step 5: Solve for x
    x = 626,676,122.25/14,082
  6. Step 6: Final answer
    x = 44,501.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.