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Finding the Third Proportional to 3,780 and 7,904.25

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Solution

The third proportional to 3,780 and 7,904.25 is: 16,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 7,904.25 = 7,904.25 : x
  2. Step 2: Convert to fraction form
    3,780/7,904.25 = 7,904.25/x
  3. Step 3: Cross multiply
    3,780x = 7,904.25 × 7,904.25
  4. Step 4: Simplify right side
    3,780x = 62,477,168.06
  5. Step 5: Solve for x
    x = 62,477,168.06/3,780
  6. Step 6: Final answer
    x = 16,528.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.