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Finding the Third Proportional to 2,376 and 5,207.63

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Solution

The third proportional to 2,376 and 5,207.63 is: 11,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 5,207.63 = 5,207.63 : x
  2. Step 2: Convert to fraction form
    2,376/5,207.63 = 5,207.63/x
  3. Step 3: Cross multiply
    2,376x = 5,207.63 × 5,207.63
  4. Step 4: Simplify right side
    2,376x = 27,119,358.14
  5. Step 5: Solve for x
    x = 27,119,358.14/2,376
  6. Step 6: Final answer
    x = 11,413.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.