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Finding the Third Proportional to 28,723.50 and 41,971.50

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Solution

The third proportional to 28,723.50 and 41,971.50 is: 61,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,723.50 : 41,971.50 = 41,971.50 : x
  2. Step 2: Convert to fraction form
    28,723.50/41,971.50 = 41,971.50/x
  3. Step 3: Cross multiply
    28,723.50x = 41,971.50 × 41,971.50
  4. Step 4: Simplify right side
    28,723.50x = 1,761,606,812.25
  5. Step 5: Solve for x
    x = 1,761,606,812.25/28,723.50
  6. Step 6: Final answer
    x = 61,329.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.