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Finding the Third Proportional to 1,925 and 4,164

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Solution

The third proportional to 1,925 and 4,164 is: 9,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925 : 4,164 = 4,164 : x
  2. Step 2: Convert to fraction form
    1,925/4,164 = 4,164/x
  3. Step 3: Cross multiply
    1,925x = 4,164 × 4,164
  4. Step 4: Simplify right side
    1,925x = 17,338,896
  5. Step 5: Solve for x
    x = 17,338,896/1,925
  6. Step 6: Final answer
    x = 9,007.22

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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.