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Finding the Third Proportional to 20,468 and 30,575.50

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Solution

The third proportional to 20,468 and 30,575.50 is: 45,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468 : 30,575.50 = 30,575.50 : x
  2. Step 2: Convert to fraction form
    20,468/30,575.50 = 30,575.50/x
  3. Step 3: Cross multiply
    20,468x = 30,575.50 × 30,575.50
  4. Step 4: Simplify right side
    20,468x = 934,861,200.25
  5. Step 5: Solve for x
    x = 934,861,200.25/20,468
  6. Step 6: Final answer
    x = 45,674.28

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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.