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Finding the Third Proportional to 48,733.50 and 73,460

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Solution

The third proportional to 48,733.50 and 73,460 is: 110,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,733.50 : 73,460 = 73,460 : x
  2. Step 2: Convert to fraction form
    48,733.50/73,460 = 73,460/x
  3. Step 3: Cross multiply
    48,733.50x = 73,460 × 73,460
  4. Step 4: Simplify right side
    48,733.50x = 5,396,371,600
  5. Step 5: Solve for x
    x = 5,396,371,600/48,733.50
  6. Step 6: Final answer
    x = 110,732.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.