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Finding the Third Proportional to 1,752 and 4,085

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Solution

The third proportional to 1,752 and 4,085 is: 9,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752 : 4,085 = 4,085 : x
  2. Step 2: Convert to fraction form
    1,752/4,085 = 4,085/x
  3. Step 3: Cross multiply
    1,752x = 4,085 × 4,085
  4. Step 4: Simplify right side
    1,752x = 16,687,225
  5. Step 5: Solve for x
    x = 16,687,225/1,752
  6. Step 6: Final answer
    x = 9,524.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.