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Finding the Third Proportional to 49,353 and 72,938.25

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Solution

The third proportional to 49,353 and 72,938.25 is: 107,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,353 : 72,938.25 = 72,938.25 : x
  2. Step 2: Convert to fraction form
    49,353/72,938.25 = 72,938.25/x
  3. Step 3: Cross multiply
    49,353x = 72,938.25 × 72,938.25
  4. Step 4: Simplify right side
    49,353x = 5,319,988,313.06
  5. Step 5: Solve for x
    x = 5,319,988,313.06/49,353
  6. Step 6: Final answer
    x = 107,794.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.