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Finding the Third Proportional to 4,657.38 and 7,046.25

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Solution

The third proportional to 4,657.38 and 7,046.25 is: 10,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.38 : 7,046.25 = 7,046.25 : x
  2. Step 2: Convert to fraction form
    4,657.38/7,046.25 = 7,046.25/x
  3. Step 3: Cross multiply
    4,657.38x = 7,046.25 × 7,046.25
  4. Step 4: Simplify right side
    4,657.38x = 49,649,639.06
  5. Step 5: Solve for x
    x = 49,649,639.06/4,657.38
  6. Step 6: Final answer
    x = 10,660.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.