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Finding the Third Proportional to 20,573.50 and 30,725.50

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Solution

The third proportional to 20,573.50 and 30,725.50 is: 45,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.50 : 30,725.50 = 30,725.50 : x
  2. Step 2: Convert to fraction form
    20,573.50/30,725.50 = 30,725.50/x
  3. Step 3: Cross multiply
    20,573.50x = 30,725.50 × 30,725.50
  4. Step 4: Simplify right side
    20,573.50x = 944,056,350.25
  5. Step 5: Solve for x
    x = 944,056,350.25/20,573.50
  6. Step 6: Final answer
    x = 45,887.01

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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.