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Finding the Third Proportional to 4,648.64 and 7,177.99

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Solution

The third proportional to 4,648.64 and 7,177.99 is: 11,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.64 : 7,177.99 = 7,177.99 : x
  2. Step 2: Convert to fraction form
    4,648.64/7,177.99 = 7,177.99/x
  3. Step 3: Cross multiply
    4,648.64x = 7,177.99 × 7,177.99
  4. Step 4: Simplify right side
    4,648.64x = 51,523,571.84
  5. Step 5: Solve for x
    x = 51,523,571.84/4,648.64
  6. Step 6: Final answer
    x = 11,083.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.