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Finding the Third Proportional to 19,039.50 and 44,478

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Solution

The third proportional to 19,039.50 and 44,478 is: 103,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,039.50 : 44,478 = 44,478 : x
  2. Step 2: Convert to fraction form
    19,039.50/44,478 = 44,478/x
  3. Step 3: Cross multiply
    19,039.50x = 44,478 × 44,478
  4. Step 4: Simplify right side
    19,039.50x = 1,978,292,484
  5. Step 5: Solve for x
    x = 1,978,292,484/19,039.50
  6. Step 6: Final answer
    x = 103,904.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.