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Finding the Third Proportional to 38,998 and 57,034.50

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Solution

The third proportional to 38,998 and 57,034.50 is: 83,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998 : 57,034.50 = 57,034.50 : x
  2. Step 2: Convert to fraction form
    38,998/57,034.50 = 57,034.50/x
  3. Step 3: Cross multiply
    38,998x = 57,034.50 × 57,034.50
  4. Step 4: Simplify right side
    38,998x = 3,252,934,190.25
  5. Step 5: Solve for x
    x = 3,252,934,190.25/38,998
  6. Step 6: Final answer
    x = 83,412.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.