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Finding the Third Proportional to 2,470 and 5,036

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Solution

The third proportional to 2,470 and 5,036 is: 10,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 5,036 = 5,036 : x
  2. Step 2: Convert to fraction form
    2,470/5,036 = 5,036/x
  3. Step 3: Cross multiply
    2,470x = 5,036 × 5,036
  4. Step 4: Simplify right side
    2,470x = 25,361,296
  5. Step 5: Solve for x
    x = 25,361,296/2,470
  6. Step 6: Final answer
    x = 10,267.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.