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Finding the Third Proportional to 1,932 and 4,180.50

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Solution

The third proportional to 1,932 and 4,180.50 is: 9,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 4,180.50 = 4,180.50 : x
  2. Step 2: Convert to fraction form
    1,932/4,180.50 = 4,180.50/x
  3. Step 3: Cross multiply
    1,932x = 4,180.50 × 4,180.50
  4. Step 4: Simplify right side
    1,932x = 17,476,580.25
  5. Step 5: Solve for x
    x = 17,476,580.25/1,932
  6. Step 6: Final answer
    x = 9,045.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.