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Finding the Third Proportional to 2,366.72 and 4,971.38

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Solution

The third proportional to 2,366.72 and 4,971.38 is: 10,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.72 : 4,971.38 = 4,971.38 : x
  2. Step 2: Convert to fraction form
    2,366.72/4,971.38 = 4,971.38/x
  3. Step 3: Cross multiply
    2,366.72x = 4,971.38 × 4,971.38
  4. Step 4: Simplify right side
    2,366.72x = 24,714,569.39
  5. Step 5: Solve for x
    x = 24,714,569.39/2,366.72
  6. Step 6: Final answer
    x = 10,442.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.