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Finding the Third Proportional to 20,578.50 and 30,746.25

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Solution

The third proportional to 20,578.50 and 30,746.25 is: 45,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.50 : 30,746.25 = 30,746.25 : x
  2. Step 2: Convert to fraction form
    20,578.50/30,746.25 = 30,746.25/x
  3. Step 3: Cross multiply
    20,578.50x = 30,746.25 × 30,746.25
  4. Step 4: Simplify right side
    20,578.50x = 945,331,889.06
  5. Step 5: Solve for x
    x = 945,331,889.06/20,578.50
  6. Step 6: Final answer
    x = 45,937.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.