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Finding the Third Proportional to 20,627.47 and 30,566.74

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Solution

The third proportional to 20,627.47 and 30,566.74 is: 45,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.47 : 30,566.74 = 30,566.74 : x
  2. Step 2: Convert to fraction form
    20,627.47/30,566.74 = 30,566.74/x
  3. Step 3: Cross multiply
    20,627.47x = 30,566.74 × 30,566.74
  4. Step 4: Simplify right side
    20,627.47x = 934,325,727.96
  5. Step 5: Solve for x
    x = 934,325,727.96/20,627.47
  6. Step 6: Final answer
    x = 45,295.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.