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Finding the Third Proportional to 3,680 and 9,440

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Solution

The third proportional to 3,680 and 9,440 is: 24,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680 : 9,440 = 9,440 : x
  2. Step 2: Convert to fraction form
    3,680/9,440 = 9,440/x
  3. Step 3: Cross multiply
    3,680x = 9,440 × 9,440
  4. Step 4: Simplify right side
    3,680x = 89,113,600
  5. Step 5: Solve for x
    x = 89,113,600/3,680
  6. Step 6: Final answer
    x = 24,215.65

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.