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Finding the Third Proportional to 38,938 and 59,176.50

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Solution

The third proportional to 38,938 and 59,176.50 is: 89,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,938 : 59,176.50 = 59,176.50 : x
  2. Step 2: Convert to fraction form
    38,938/59,176.50 = 59,176.50/x
  3. Step 3: Cross multiply
    38,938x = 59,176.50 × 59,176.50
  4. Step 4: Simplify right side
    38,938x = 3,501,858,152.25
  5. Step 5: Solve for x
    x = 3,501,858,152.25/38,938
  6. Step 6: Final answer
    x = 89,934.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.