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Finding the Third Proportional to 5,046.75 and 7,407

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Solution

The third proportional to 5,046.75 and 7,407 is: 10,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.75 : 7,407 = 7,407 : x
  2. Step 2: Convert to fraction form
    5,046.75/7,407 = 7,407/x
  3. Step 3: Cross multiply
    5,046.75x = 7,407 × 7,407
  4. Step 4: Simplify right side
    5,046.75x = 54,863,649
  5. Step 5: Solve for x
    x = 54,863,649/5,046.75
  6. Step 6: Final answer
    x = 10,871.09

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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.