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Finding the Third Proportional to 30,034.50 and 38,013

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Solution

The third proportional to 30,034.50 and 38,013 is: 48,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.50 : 38,013 = 38,013 : x
  2. Step 2: Convert to fraction form
    30,034.50/38,013 = 38,013/x
  3. Step 3: Cross multiply
    30,034.50x = 38,013 × 38,013
  4. Step 4: Simplify right side
    30,034.50x = 1,444,988,169
  5. Step 5: Solve for x
    x = 1,444,988,169/30,034.50
  6. Step 6: Final answer
    x = 48,110.94

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.