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Finding the Third Proportional to 5,052.38 and 7,625.81

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Solution

The third proportional to 5,052.38 and 7,625.81 is: 11,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.38 : 7,625.81 = 7,625.81 : x
  2. Step 2: Convert to fraction form
    5,052.38/7,625.81 = 7,625.81/x
  3. Step 3: Cross multiply
    5,052.38x = 7,625.81 × 7,625.81
  4. Step 4: Simplify right side
    5,052.38x = 58,153,016.29
  5. Step 5: Solve for x
    x = 58,153,016.29/5,052.38
  6. Step 6: Final answer
    x = 11,510.04

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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.