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Finding the Third Proportional to 51,003 and 73,471.50

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Solution

The third proportional to 51,003 and 73,471.50 is: 105,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003 : 73,471.50 = 73,471.50 : x
  2. Step 2: Convert to fraction form
    51,003/73,471.50 = 73,471.50/x
  3. Step 3: Cross multiply
    51,003x = 73,471.50 × 73,471.50
  4. Step 4: Simplify right side
    51,003x = 5,398,061,312.25
  5. Step 5: Solve for x
    x = 5,398,061,312.25/51,003
  6. Step 6: Final answer
    x = 105,838.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.