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Finding the Third Proportional to 23,969.50 and 37,519.13

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Solution

The third proportional to 23,969.50 and 37,519.13 is: 58,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.50 : 37,519.13 = 37,519.13 : x
  2. Step 2: Convert to fraction form
    23,969.50/37,519.13 = 37,519.13/x
  3. Step 3: Cross multiply
    23,969.50x = 37,519.13 × 37,519.13
  4. Step 4: Simplify right side
    23,969.50x = 1,407,684,740.77
  5. Step 5: Solve for x
    x = 1,407,684,740.77/23,969.50
  6. Step 6: Final answer
    x = 58,728.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.