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Finding the Third Proportional to 30,800.25 and 44,013.38

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Solution

The third proportional to 30,800.25 and 44,013.38 is: 62,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.25 : 44,013.38 = 44,013.38 : x
  2. Step 2: Convert to fraction form
    30,800.25/44,013.38 = 44,013.38/x
  3. Step 3: Cross multiply
    30,800.25x = 44,013.38 × 44,013.38
  4. Step 4: Simplify right side
    30,800.25x = 1,937,177,178.89
  5. Step 5: Solve for x
    x = 1,937,177,178.89/30,800.25
  6. Step 6: Final answer
    x = 62,894.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.