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Finding the Third Proportional to 45,993 and 67,475.50

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Solution

The third proportional to 45,993 and 67,475.50 is: 98,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,993 : 67,475.50 = 67,475.50 : x
  2. Step 2: Convert to fraction form
    45,993/67,475.50 = 67,475.50/x
  3. Step 3: Cross multiply
    45,993x = 67,475.50 × 67,475.50
  4. Step 4: Simplify right side
    45,993x = 4,552,943,100.25
  5. Step 5: Solve for x
    x = 4,552,943,100.25/45,993
  6. Step 6: Final answer
    x = 98,992.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.