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Finding the Third Proportional to 4,956.47 and 7,297.73

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Solution

The third proportional to 4,956.47 and 7,297.73 is: 10,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.47 : 7,297.73 = 7,297.73 : x
  2. Step 2: Convert to fraction form
    4,956.47/7,297.73 = 7,297.73/x
  3. Step 3: Cross multiply
    4,956.47x = 7,297.73 × 7,297.73
  4. Step 4: Simplify right side
    4,956.47x = 53,256,927.01
  5. Step 5: Solve for x
    x = 53,256,927.01/4,956.47
  6. Step 6: Final answer
    x = 10,744.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.