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Finding the Third Proportional to 10,713 and 23,035.50

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Solution

The third proportional to 10,713 and 23,035.50 is: 49,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713 : 23,035.50 = 23,035.50 : x
  2. Step 2: Convert to fraction form
    10,713/23,035.50 = 23,035.50/x
  3. Step 3: Cross multiply
    10,713x = 23,035.50 × 23,035.50
  4. Step 4: Simplify right side
    10,713x = 530,634,260.25
  5. Step 5: Solve for x
    x = 530,634,260.25/10,713
  6. Step 6: Final answer
    x = 49,531.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.